Index

_ | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Z

_

__classcall__() (sage.categories.category.Category static method)
(sage.categories.category_with_axiom.CategoryWithAxiom static method)
__classget__() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
__init__() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_all_super_categories() (sage.categories.category.Category method)
_all_super_categories_proper() (sage.categories.category.Category method)
_make_named_class() (sage.categories.category.Category method)
(sage.categories.category.CategoryWithParameters method)
_repr_() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
_repr_object_names() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_repr_object_names_static() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
_set_of_super_categories() (sage.categories.category.Category method)
_sort() (sage.categories.category.Category static method)
_sort_uniq() (sage.categories.category.Category method)
_super_categories() (sage.categories.category.Category method)
_super_categories_for_classes() (sage.categories.category.Category method)
_test_category() (sage.categories.category.Category method)
_test_category_with_axiom() (sage.categories.category_with_axiom.CategoryWithAxiom method)
_with_axiom() (sage.categories.category.Category method)
_with_axiom_as_tuple() (sage.categories.category.Category method)
_without_axioms() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)

A

a_realization() (sage.categories.examples.with_realizations.SubsetAlgebra method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
AbelianCategory (class in sage.categories.category_types)
abs() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method)
absolute_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
act() (sage.categories.action.Action method)
Action (class in sage.categories.action)
ActionEndomorphism (class in sage.categories.action)
actor() (sage.categories.action.Action method)
adams_operator() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method)
add() (sage.categories.category_cy_helper.AxiomContainer method)
addition_table() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
additional_structure() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital method)
(sage.categories.affine_weyl_groups.AffineWeylGroups method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.lie_groups.LieGroups method)
(sage.categories.magmas.Magmas.Unital method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas method)
(sage.categories.magmatic_algebras.MagmaticAlgebras method)
(sage.categories.manifolds.Manifolds method)
(sage.categories.modules.Modules method)
(sage.categories.objects.Objects method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
additive_semigroup_generators() (sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
AdditiveAssociative (sage.categories.additive_magmas.AdditiveMagmas attribute)
AdditiveAssociative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveCommutative (sage.categories.additive_groups.AdditiveGroups attribute)
(sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveCommutative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveGroups (class in sage.categories.additive_groups)
AdditiveInverse (sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
AdditiveInverse() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.SubcategoryMethods method)
AdditiveMagmas (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Homsets (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Homsets.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.Homsets (class in sage.categories.additive_magmas)
AdditiveMagmas.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMonoids (class in sage.categories.additive_monoids)
AdditiveMonoids.Homsets (class in sage.categories.additive_monoids)
AdditiveMonoids.ParentMethods (class in sage.categories.additive_monoids)
AdditiveSemigroups (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveSemigroups.CartesianProducts (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Homsets (class in sage.categories.additive_semigroups)
AdditiveSemigroups.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveUnital (sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveUnital() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
affine_grassmannian_elements_of_given_length() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
affine_grassmannian_to_core() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
affine_grassmannian_to_partition() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
AffineWeylGroups (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ElementMethods (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ParentMethods (class in sage.categories.affine_weyl_groups)
algebra() (sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.sets_cat.Sets.ParentMethods method)
algebra_generators() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.algebras.Algebras.Quotients.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
(sage.categories.monoids.Monoids.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
AlgebraFunctor (class in sage.categories.algebra_functor)
AlgebraicClosureFunctor (class in sage.categories.pushout)
AlgebraicExtensionFunctor (class in sage.categories.pushout)
AlgebraIdeals (class in sage.categories.algebra_ideals)
AlgebraModules (class in sage.categories.algebra_modules)
Algebras (class in sage.categories.algebras)
(sage.categories.coxeter_groups.CoxeterGroups attribute)
Algebras() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Algebras.CartesianProducts (class in sage.categories.algebras)
Algebras.DualObjects (class in sage.categories.algebras)
Algebras.ElementMethods (class in sage.categories.algebras)
Algebras.Quotients (class in sage.categories.algebras)
Algebras.Quotients.ParentMethods (class in sage.categories.algebras)
Algebras.SubcategoryMethods (class in sage.categories.algebras)
Algebras.TensorProducts (class in sage.categories.algebras)
Algebras.TensorProducts.ElementMethods (class in sage.categories.algebras)
Algebras.TensorProducts.ParentMethods (class in sage.categories.algebras)
AlgebrasCategory (class in sage.categories.algebra_functor)
AlgebrasWithBasis (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.algebras_with_basis)
all_paths_to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
all_super_categories() (sage.categories.category.Category method)
AlmostComplex() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
ambient() (sage.categories.category_types.Category_in_ambient method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.IncompleteSubquotientSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
an_element() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
(sage.categories.examples.cw_complexes.Surface method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.graphs.Cycle method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.manifolds.Plane method)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
an_instance() (sage.categories.algebra_modules.AlgebraModules class method)
(sage.categories.bimodules.Bimodules class method)
(sage.categories.category.Category class method)
(sage.categories.category_types.Category_ideal class method)
(sage.categories.category_types.Category_over_base class method)
(sage.categories.category_types.Elements class method)
(sage.categories.g_sets.GSets class method)
(sage.categories.groupoid.Groupoid class method)
Analytic() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
annihilator() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
annihilator_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
antichains() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
antipode() (sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ElementMethods method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ParentMethods method)
(sage.categories.hopf_algebras.HopfAlgebras.ElementMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
antipode_by_coercion() (sage.categories.hopf_algebras.HopfAlgebras.Realizations.ParentMethods method)
antipode_on_basis() (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ParentMethods method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
Aperiodic (sage.categories.semigroups.Semigroups attribute)
Aperiodic() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
AperiodicSemigroups (class in sage.categories.aperiodic_semigroups)
apply_demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_multilinear_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts.ElementMethods method)
apply_simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection_right() (sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
Associative (sage.categories.magmas.Magmas attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
Associative() (sage.categories.magmas.Magmas.SubcategoryMethods method)
AssociativeAlgebras (class in sage.categories.associative_algebras)
axiom() (in module sage.categories.category_with_axiom)
axiom_of_nested_class() (in module sage.categories.category_with_axiom)
AxiomContainer (class in sage.categories.category_cy_helper)
axioms() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)

B

Bars (class in sage.categories.category_with_axiom)
base() (sage.categories.category_types.Category_over_base method)
(sage.categories.homsets.HomsetsCategory method)
(sage.categories.tensor.TensorProductsCategory method)
base_category() (sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
base_category_class_and_axiom() (in module sage.categories.category_with_axiom)
base_field() (sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.vector_spaces.VectorSpaces method)
base_ring() (sage.categories.algebra_functor.AlgebraFunctor method)
(sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.category_types.Category_over_base_ring method)
(sage.categories.hecke_modules.HeckeModules.Homsets method)
(sage.categories.modules.Modules.CartesianProducts.ParentMethods method)
(sage.categories.modules.Modules.Homsets method)
(sage.categories.modules.Modules.Homsets.ParentMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
base_scheme() (sage.categories.schemes.Schemes_over_base method)
base_set() (sage.categories.examples.with_realizations.SubsetAlgebra method)
basis() (sage.categories.examples.graded_modules_with_basis.GradedPartitionModule method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
Bialgebras (class in sage.categories.bialgebras)
Bialgebras.Super (class in sage.categories.bialgebras)
BialgebrasWithBasis (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ElementMethods (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ParentMethods (class in sage.categories.bialgebras_with_basis)
Bimodules (class in sage.categories.bimodules)
Bimodules.ElementMethods (class in sage.categories.bimodules)
Bimodules.ParentMethods (class in sage.categories.bimodules)
binary_factorizations() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
birational_free_labelling() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggle() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggles() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
BlackBoxConstructionFunctor (class in sage.categories.pushout)
Blahs (class in sage.categories.category_with_axiom)
Blahs.Commutative (class in sage.categories.category_with_axiom)
Blahs.Connected (class in sage.categories.category_with_axiom)
Blahs.FiniteDimensional (class in sage.categories.category_with_axiom)
Blahs.Flying (class in sage.categories.category_with_axiom)
Blahs.SubcategoryMethods (class in sage.categories.category_with_axiom)
Blahs.Unital (class in sage.categories.category_with_axiom)
Blahs.Unital.Blue (class in sage.categories.category_with_axiom)
Blue() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
Blue_extra_super_categories() (sage.categories.category_with_axiom.Blahs method)
bracket() (sage.categories.rings.Rings.ParentMethods method)
bruhat_interval() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_lower_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
bruhat_upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
bruhat_upper_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_upper_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)

C

CallMorphism (class in sage.categories.morphism)
cambrian_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
canonical_matrix() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
canonical_representation() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
canonicalize_axioms() (in module sage.categories.category_cy_helper)
cardinality() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
cartan_invariants_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
cartan_type() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
cartesian_factors() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
cartesian_product() (sage.categories.sets_cat.Sets.ElementMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
cartesian_projection() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
CartesianProduct (sage.categories.posets.Posets.ParentMethods attribute)
(sage.categories.sets_cat.Sets.ParentMethods attribute)
CartesianProductFunctor (class in sage.categories.cartesian_product)
CartesianProducts() (sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.sets_cat.Sets.SubcategoryMethods method)
CartesianProductsCategory (class in sage.categories.cartesian_product)
catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
Category (class in sage.categories.category)
category() (sage.categories.category.Category method)
(sage.categories.morphism.Morphism method)
Category_contains_method_by_parent_class (class in sage.categories.category_singleton)
category_for() (sage.categories.map.Map method)
category_from_categories() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_category() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_parents() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_graph() (in module sage.categories.category)
(sage.categories.category.Category method)
Category_ideal (class in sage.categories.category_types)
Category_in_ambient (class in sage.categories.category_types)
Category_module (class in sage.categories.category_types)
category_of() (sage.categories.covariant_functorial_construction.FunctorialConstructionCategory class method)
Category_over_base (class in sage.categories.category_types)
Category_over_base_ring (class in sage.categories.category_types)
Category_realization_of_parent (class in sage.categories.realizations)
category_sample() (in module sage.categories.category)
Category_singleton (class in sage.categories.category_singleton)
category_sort_key() (in module sage.categories.category_cy_helper)
CategoryWithAxiom (class in sage.categories.category_with_axiom)
CategoryWithAxiom_over_base_ring (class in sage.categories.category_with_axiom)
CategoryWithAxiom_singleton (class in sage.categories.category_with_axiom)
CategoryWithParameters (class in sage.categories.category)
cayley_graph() (sage.categories.semigroups.Semigroups.ParentMethods method)
cayley_graph_disabled() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
cayley_table() (sage.categories.groups.Groups.ParentMethods method)
cells() (sage.categories.cw_complexes.CWComplexes.ParentMethods method)
(sage.categories.examples.cw_complexes.Surface method)
center() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
center_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
central_form() (sage.categories.groups.Groups.Algebras.ElementMethods method)
central_orthogonal_idempotents() (sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods method)
(sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method)
ChainComplexes (class in sage.categories.category_types)
character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
character_value() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method)
characteristic() (sage.categories.rings.Rings.ParentMethods method)
ClassicalCrystals (class in sage.categories.classical_crystals)
ClassicalCrystals.ElementMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.ParentMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.TensorProducts (class in sage.categories.classical_crystals)
Coalgebras (class in sage.categories.coalgebras)
Coalgebras.DualObjects (class in sage.categories.coalgebras)
Coalgebras.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.Realizations (class in sage.categories.coalgebras)
Coalgebras.Realizations.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.Super (class in sage.categories.coalgebras)
Coalgebras.TensorProducts (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.WithRealizations (class in sage.categories.coalgebras)
Coalgebras.WithRealizations.ParentMethods (class in sage.categories.coalgebras)
CoalgebrasWithBasis (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ElementMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ParentMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.Super (class in sage.categories.coalgebras_with_basis)
codegrees() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
codomain (sage.categories.map.Map attribute)
codomain() (sage.categories.action.Action method)
(sage.categories.action.InverseAction method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.poor_man_map.PoorManMap method)
coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
common_base() (sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.MultivariateConstructionFunctor method)
Commutative (sage.categories.algebras.Algebras attribute)
(sage.categories.division_rings.DivisionRings attribute)
(sage.categories.domains.Domains attribute)
(sage.categories.rings.Rings attribute)
Commutative() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
Commutative_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
CommutativeAdditiveGroups (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.Algebras (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.CartesianProducts (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveMonoids (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveSemigroups (class in sage.categories.commutative_additive_semigroups)
CommutativeAlgebraIdeals (class in sage.categories.commutative_algebra_ideals)
CommutativeAlgebras (class in sage.categories.commutative_algebras)
CommutativeRingIdeals (class in sage.categories.commutative_ring_ideals)
CommutativeRings (class in sage.categories.commutative_rings)
CommutativeRings.CartesianProducts (class in sage.categories.commutative_rings)
CommutativeRings.ElementMethods (class in sage.categories.commutative_rings)
CommutativeRings.Finite (class in sage.categories.commutative_rings)
CommutativeRings.Finite.ParentMethods (class in sage.categories.commutative_rings)
commutes() (sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
Compact() (sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method)
Compact_extra_super_categories() (sage.categories.cw_complexes.CWComplexes method)
Complete() (sage.categories.metric_spaces.MetricSpaces.SubcategoryMethods method)
CompleteDiscreteValuationFields (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationFields.ElementMethods (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationRings (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationRings.ElementMethods (class in sage.categories.complete_discrete_valuation)
CompletionFunctor (class in sage.categories.pushout)
Complex() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
ComplexManifolds (class in sage.categories.manifolds)
ComplexReflectionGroups (class in sage.categories.complex_reflection_groups)
ComplexReflectionGroups.ParentMethods (class in sage.categories.complex_reflection_groups)
CompositeConstructionFunctor (class in sage.categories.pushout)
conjugacy_class() (sage.categories.groups.Groups.ElementMethods method)
(sage.categories.groups.Groups.ParentMethods method)
conjugacy_classes() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes_representatives() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
Connected() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method)
(sage.categories.filtered_modules.FilteredModules.SubcategoryMethods method)
(sage.categories.manifolds.Manifolds.SubcategoryMethods method)
(sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method)
connected_components() (sage.categories.crystals.Crystals.ParentMethods method)
connected_components_generators() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
construction_tower() (in module sage.categories.pushout)
ConstructionFunctor (class in sage.categories.pushout)
convolution_product() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method)
(sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ParentMethods method)
coproduct() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
coproduct_by_coercion() (sage.categories.coalgebras.Coalgebras.Realizations.ParentMethods method)
coproduct_iterated() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ElementMethods method)
coproduct_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
coset_representative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
counit() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
counit_by_coercion() (sage.categories.coalgebras.Coalgebras.Realizations.ParentMethods method)
counit_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ParentMethods method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
CovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
CovariantFunctorialConstruction (class in sage.categories.covariant_functorial_construction)
cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
covered_reflections_subgroup() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_element() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
coxeter_elements() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
coxeter_knuth_graph() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_knuth_neighbor() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
coxeter_sorting_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
CoxeterGroupAlgebras (class in sage.categories.coxeter_group_algebras)
CoxeterGroupAlgebras.ParentMethods (class in sage.categories.coxeter_group_algebras)
CoxeterGroups (class in sage.categories.coxeter_groups)
CoxeterGroups.ElementMethods (class in sage.categories.coxeter_groups)
CoxeterGroups.ParentMethods (class in sage.categories.coxeter_groups)
crystal_morphism() (sage.categories.crystals.Crystals.ParentMethods method)
CrystalHomset (class in sage.categories.crystals)
CrystalMorphism (class in sage.categories.crystals)
CrystalMorphismByGenerators (class in sage.categories.crystals)
Crystals (class in sage.categories.crystals)
Crystals.ElementMethods (class in sage.categories.crystals)
Crystals.MorphismMethods (class in sage.categories.crystals)
Crystals.ParentMethods (class in sage.categories.crystals)
Crystals.SubcategoryMethods (class in sage.categories.crystals)
Crystals.TensorProducts (class in sage.categories.crystals)
CWComplexes (class in sage.categories.cw_complexes)
CWComplexes.Connected (class in sage.categories.cw_complexes)
CWComplexes.ElementMethods (class in sage.categories.cw_complexes)
CWComplexes.Finite (class in sage.categories.cw_complexes)
CWComplexes.Finite.ParentMethods (class in sage.categories.cw_complexes)
CWComplexes.FiniteDimensional (class in sage.categories.cw_complexes)
CWComplexes.ParentMethods (class in sage.categories.cw_complexes)
CWComplexes.SubcategoryMethods (class in sage.categories.cw_complexes)
Cycle (class in sage.categories.examples.graphs)
Cycle.Element (class in sage.categories.examples.graphs)
cycle_index() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
cyclotomic_cosets() (sage.categories.commutative_rings.CommutativeRings.Finite.ParentMethods method)

D

default_super_categories() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
(sage.categories.covariant_functorial_construction.RegressiveCovariantConstructionCategory class method)
(sage.categories.graded_modules.GradedModulesCategory class method)
(sage.categories.homsets.HomsetsCategory class method)
(sage.categories.isomorphic_objects.IsomorphicObjectsCategory class method)
(sage.categories.metric_spaces.MetricSpacesCategory class method)
(sage.categories.quotients.QuotientsCategory class method)
(sage.categories.subobjects.SubobjectsCategory class method)
(sage.categories.super_modules.SuperModulesCategory class method)
degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
degree_negation() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ParentMethods method)
degree_on_basis() (sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.graded_modules_with_basis.GradedPartitionModule method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
degrees() (sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
demazure_character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
demazure_lusztig_eigenvectors() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operator_on_basis() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operators() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_operator() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
demazure_operator_simple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
demazure_subcrystal() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
denominator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
dense_coefficient_list() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ElementMethods method)
deodhar_factor_element() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_down() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_up() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
derivative() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
descents() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Differentiable() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
digraph() (sage.categories.crystals.Crystals.ParentMethods method)
DihedralGroup (class in sage.categories.examples.finite_coxeter_groups)
DihedralGroup.Element (class in sage.categories.examples.finite_coxeter_groups)
dimension() (sage.categories.cw_complexes.CWComplexes.ElementMethods method)
(sage.categories.cw_complexes.CWComplexes.Finite.ParentMethods method)
(sage.categories.cw_complexes.CWComplexes.ParentMethods method)
(sage.categories.examples.cw_complexes.Surface.Element method)
(sage.categories.examples.graphs.Cycle.Element method)
(sage.categories.examples.manifolds.Plane method)
(sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.manifolds.Manifolds.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.Finite.ParentMethods method)
direct_sum() (sage.categories.crystals.Crystals.ParentMethods method)
directed_subset() (sage.categories.posets.Posets.ParentMethods method)
directed_subsets() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
DiscreteValuationFields (class in sage.categories.discrete_valuation)
DiscreteValuationFields.ElementMethods (class in sage.categories.discrete_valuation)
DiscreteValuationFields.ParentMethods (class in sage.categories.discrete_valuation)
DiscreteValuationRings (class in sage.categories.discrete_valuation)
DiscreteValuationRings.ElementMethods (class in sage.categories.discrete_valuation)
DiscreteValuationRings.ParentMethods (class in sage.categories.discrete_valuation)
dist() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method)
(sage.categories.metric_spaces.MetricSpaces.ParentMethods method)
(sage.categories.metric_spaces.MetricSpaces.WithRealizations.ParentMethods method)
Distributive (sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas attribute)
Distributive() (sage.categories.magmas.Magmas.SubcategoryMethods method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas.SubcategoryMethods method)
DistributiveMagmasAndAdditiveMagmas (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.CartesianProducts (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.ParentMethods (class in sage.categories.distributive_magmas_and_additive_magmas)
Division (sage.categories.rings.Rings attribute)
Division() (sage.categories.rings.Rings.SubcategoryMethods method)
DivisionRings (class in sage.categories.division_rings)
DivisionRings.ElementMethods (class in sage.categories.division_rings)
DivisionRings.ParentMethods (class in sage.categories.division_rings)
domain (sage.categories.map.Map attribute)
domain() (sage.categories.action.Action method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.poor_man_map.PoorManMap method)
Domains (class in sage.categories.domains)
domains() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
Domains.ElementMethods (class in sage.categories.domains)
Domains.ParentMethods (class in sage.categories.domains)
dot_tex() (sage.categories.crystals.Crystals.ParentMethods method)
dual() (sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.modules.Modules.SubcategoryMethods method)
dual_equivalence_class() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
dual_equivalence_graph() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
DualFunctor (class in sage.categories.dual)
DualObjects() (sage.categories.modules.Modules.SubcategoryMethods method)
DualObjectsCategory (class in sage.categories.dual)

E

e() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
e_string() (sage.categories.crystals.Crystals.ElementMethods method)
echelon_form() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
edges() (sage.categories.examples.graphs.Cycle method)
(sage.categories.graphs.Graphs.ParentMethods method)
Element (sage.categories.crystals.CrystalHomset attribute)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers attribute)
(sage.categories.examples.manifolds.Plane attribute)
(sage.categories.examples.semigroups_cython.LeftZeroSemigroup attribute)
(sage.categories.highest_weight_crystals.HighestWeightCrystalHomset attribute)
element_class (sage.categories.examples.sets_cat.PrimeNumbers attribute)
(sage.categories.examples.sets_cat.PrimeNumbers_Facade attribute)
element_class() (sage.categories.category.Category method)
element_class_set_morphism() (sage.categories.homset.Homset method)
ElementMethods (sage.categories.examples.semigroups_cython.IdempotentSemigroups attribute)
Elements (class in sage.categories.category_types)
elements_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
ElementWrapper (sage.categories.examples.sets_cat.PrimeNumbers_Wrapper attribute)
EmptySetError
End() (in module sage.categories.homset)
end() (in module sage.categories.homset)
Endset() (sage.categories.homsets.Homsets.SubcategoryMethods method)
Endsets() (sage.categories.objects.Objects.SubcategoryMethods method)
EnumeratedSets (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ElementMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ParentMethods (class in sage.categories.enumerated_sets)
Epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
euclidean_degree() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
EuclideanDomains (class in sage.categories.euclidean_domains)
EuclideanDomains.ElementMethods (class in sage.categories.euclidean_domains)
EuclideanDomains.ParentMethods (class in sage.categories.euclidean_domains)
even_component() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
Example (class in sage.categories.examples.finite_enumerated_sets)
(in module sage.categories.examples.algebras_with_basis)
(in module sage.categories.examples.commutative_additive_monoids)
(in module sage.categories.examples.commutative_additive_semigroups)
(in module sage.categories.examples.cw_complexes)
(in module sage.categories.examples.finite_coxeter_groups)
(in module sage.categories.examples.finite_dimensional_algebras_with_basis)
(in module sage.categories.examples.finite_monoids)
(in module sage.categories.examples.finite_semigroups)
(in module sage.categories.examples.finite_weyl_groups)
(in module sage.categories.examples.graded_connected_hopf_algebras_with_basis)
(in module sage.categories.examples.graded_modules_with_basis)
(in module sage.categories.examples.graphs)
(in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.manifolds)
(in module sage.categories.examples.monoids)
(in module sage.categories.examples.sets_with_grading)
example() (sage.categories.algebras_with_basis.AlgebrasWithBasis method)
(sage.categories.category.Category method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.facade_sets.FacadeSets method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects method)
(sage.categories.finite_groups.FiniteGroups method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected method)
(sage.categories.groups.Groups method)
(sage.categories.groups.Groups.Algebras method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.posets.Posets method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.semigroups.Semigroups method)
(sage.categories.semigroups.Semigroups.Quotients method)
(sage.categories.semigroups.Semigroups.Subquotients method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
expand() (sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompositeConstructionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
expand_tower() (in module sage.categories.pushout)
extend_codomain() (sage.categories.map.Map method)
extend_domain() (sage.categories.map.Map method)
extra_super_categories() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Homsets method)
(sage.categories.additive_magmas.AdditiveMagmas.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.Homsets method)
(sage.categories.additive_monoids.AdditiveMonoids.Homsets method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras method)
(sage.categories.additive_semigroups.AdditiveSemigroups.CartesianProducts method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Homsets method)
(sage.categories.algebras.Algebras.CartesianProducts method)
(sage.categories.algebras.Algebras.DualObjects method)
(sage.categories.algebras.Algebras.TensorProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts method)
(sage.categories.aperiodic_semigroups.AperiodicSemigroups method)
(sage.categories.category_with_axiom.Blahs.Flying method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.classical_crystals.ClassicalCrystals.TensorProducts method)
(sage.categories.coalgebras.Coalgebras.DualObjects method)
(sage.categories.coalgebras.Coalgebras.Super method)
(sage.categories.coalgebras.Coalgebras.TensorProducts method)
(sage.categories.commutative_rings.CommutativeRings.CartesianProducts method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
(sage.categories.crystals.Crystals.TensorProducts method)
(sage.categories.cw_complexes.CWComplexes.Finite method)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.CartesianProducts method)
(sage.categories.division_rings.DivisionRings method)
(sage.categories.fields.Fields method)
(sage.categories.filtered_modules.FilteredModules method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_crystals.FiniteCrystals.TensorProducts method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts method)
(sage.categories.finite_fields.FiniteFields method)
(sage.categories.finite_groups.FiniteGroups.Algebras method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.finite_sets.FiniteSets.Algebras method)
(sage.categories.finite_sets.FiniteSets.Subquotients method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups.Finite method)
(sage.categories.groups.Groups.Algebras method)
(sage.categories.groups.Groups.CartesianProducts method)
(sage.categories.hecke_modules.HeckeModules.Homsets method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.TensorProducts method)
(sage.categories.homsets.Homsets.Endset method)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts method)
(sage.categories.j_trivial_semigroups.JTrivialSemigroups method)
(sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.magmas.Magmas.Algebras method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.magmas.Magmas.Commutative.Algebras method)
(sage.categories.magmas.Magmas.Commutative.CartesianProducts method)
(sage.categories.magmas.Magmas.Unital.Algebras method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts method)
(sage.categories.magmas.Magmas.Unital.Inverse.CartesianProducts method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas.CartesianProducts method)
(sage.categories.manifolds.Manifolds.AlmostComplex method)
(sage.categories.manifolds.Manifolds.Analytic method)
(sage.categories.manifolds.Manifolds.Smooth method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties.Homsets.Endset method)
(sage.categories.modules.Modules.CartesianProducts method)
(sage.categories.modules.Modules.FiniteDimensional method)
(sage.categories.modules.Modules.Homsets method)
(sage.categories.modules.Modules.Homsets.Endset method)
(sage.categories.modules.Modules.TensorProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.CartesianProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.DualObjects method)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts method)
(sage.categories.monoids.Monoids.Algebras method)
(sage.categories.monoids.Monoids.CartesianProducts method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
(sage.categories.regular_crystals.RegularCrystals.TensorProducts method)
(sage.categories.semigroups.Semigroups.Algebras method)
(sage.categories.semigroups.Semigroups.CartesianProducts method)
(sage.categories.sets_cat.Sets.Algebras method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
(sage.categories.super_algebras.SuperAlgebras method)
(sage.categories.super_algebras_with_basis.SuperAlgebrasWithBasis method)
(sage.categories.super_modules.SuperModules method)
(sage.categories.vector_spaces.VectorSpaces.CartesianProducts method)
(sage.categories.vector_spaces.VectorSpaces.DualObjects method)
(sage.categories.vector_spaces.VectorSpaces.TensorProducts method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.CartesianProducts method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.TensorProducts method)

F

f() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
f_string() (sage.categories.crystals.Crystals.ElementMethods method)
Facade (sage.categories.sets_cat.Sets attribute)
Facade() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
Facades() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
FacadeSets (class in sage.categories.facade_sets)
FacadeSets.ParentMethods (class in sage.categories.facade_sets)
faces() (sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method)
facets() (sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method)
factor() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
Fields (class in sage.categories.fields)
Fields.ElementMethods (class in sage.categories.fields)
Fields.ParentMethods (class in sage.categories.fields)
Filtered (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Filtered() (sage.categories.modules.Modules.SubcategoryMethods method)
FilteredAlgebras (class in sage.categories.filtered_algebras)
FilteredAlgebras.ParentMethods (class in sage.categories.filtered_algebras)
FilteredAlgebrasWithBasis (class in sage.categories.filtered_algebras_with_basis)
FilteredAlgebrasWithBasis.ElementMethods (class in sage.categories.filtered_algebras_with_basis)
FilteredAlgebrasWithBasis.ParentMethods (class in sage.categories.filtered_algebras_with_basis)
FilteredModules (class in sage.categories.filtered_modules)
FilteredModules.Connected (class in sage.categories.filtered_modules)
FilteredModules.SubcategoryMethods (class in sage.categories.filtered_modules)
FilteredModulesCategory (class in sage.categories.filtered_modules)
FilteredModulesWithBasis (class in sage.categories.filtered_modules_with_basis)
FilteredModulesWithBasis.ElementMethods (class in sage.categories.filtered_modules_with_basis)
FilteredModulesWithBasis.ParentMethods (class in sage.categories.filtered_modules_with_basis)
Finite (sage.categories.complex_reflection_groups.ComplexReflectionGroups attribute)
(sage.categories.coxeter_groups.CoxeterGroups attribute)
(sage.categories.crystals.Crystals attribute)
(sage.categories.enumerated_sets.EnumeratedSets attribute)
(sage.categories.fields.Fields attribute)
(sage.categories.groups.Groups attribute)
(sage.categories.lattice_posets.LatticePosets attribute)
(sage.categories.monoids.Monoids attribute)
(sage.categories.permutation_groups.PermutationGroups attribute)
(sage.categories.posets.Posets attribute)
(sage.categories.semigroups.Semigroups attribute)
(sage.categories.sets_cat.Sets attribute)
(sage.categories.weyl_groups.WeylGroups attribute)
Finite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Finite_extra_super_categories() (sage.categories.division_rings.DivisionRings method)
(sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
FiniteComplexReflectionGroups (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.ElementMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.Irreducible (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.SubcategoryMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.Irreducible (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups)
FiniteCrystals (class in sage.categories.finite_crystals)
FiniteCrystals.TensorProducts (class in sage.categories.finite_crystals)
FiniteDimensional (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
FiniteDimensional() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method)
(sage.categories.manifolds.Manifolds.SubcategoryMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalBialgebrasWithBasis() (in module sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis() (in module sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.MorphismMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteFields (class in sage.categories.finite_fields)
FiniteFields.ElementMethods (class in sage.categories.finite_fields)
FiniteFields.ParentMethods (class in sage.categories.finite_fields)
FiniteGroups (class in sage.categories.finite_groups)
FiniteGroups.Algebras (class in sage.categories.finite_groups)
FiniteGroups.ElementMethods (class in sage.categories.finite_groups)
FiniteGroups.ParentMethods (class in sage.categories.finite_groups)
FiniteLatticePosets (class in sage.categories.finite_lattice_posets)
FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets)
FinitelyGenerated() (sage.categories.magmas.Magmas.SubcategoryMethods method)
FinitelyGeneratedAsMagma (sage.categories.magmas.Magmas attribute)
(sage.categories.semigroups.Semigroups attribute)
FinitelyGeneratedAsMagma() (sage.categories.magmas.Magmas.SubcategoryMethods method)
FinitelyGeneratedMagmas (class in sage.categories.finitely_generated_magmas)
FinitelyGeneratedMagmas.ParentMethods (class in sage.categories.finitely_generated_magmas)
FinitelyGeneratedSemigroups (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.Finite (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.Finite.ParentMethods (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.ParentMethods (class in sage.categories.finitely_generated_semigroups)
FiniteMonoids (class in sage.categories.finite_monoids)
FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids)
FinitePermutationGroups (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups)
FinitePosets (class in sage.categories.finite_posets)
FinitePosets.ParentMethods (class in sage.categories.finite_posets)
FiniteSemigroups (class in sage.categories.finite_semigroups)
FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups)
FiniteSets (class in sage.categories.finite_sets)
FiniteSets.Algebras (class in sage.categories.finite_sets)
FiniteSets.ParentMethods (class in sage.categories.finite_sets)
FiniteSets.Subquotients (class in sage.categories.finite_sets)
FiniteSetsOrderedByInclusion (class in sage.categories.examples.posets)
FiniteSetsOrderedByInclusion.Element (class in sage.categories.examples.posets)
FiniteWeylGroups (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups)
first() (sage.categories.enumerated_sets.EnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.map.FormalCompositeMap method)
first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Flying() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
ForgetfulFunctor() (in module sage.categories.functor)
ForgetfulFunctor_generic (class in sage.categories.functor)
FormalCoercionMorphism (class in sage.categories.morphism)
FormalCompositeMap (class in sage.categories.map)
fraction_field() (sage.categories.fields.Fields.ParentMethods method)
FractionField (class in sage.categories.pushout)
free() (sage.categories.groups.Groups static method)
(sage.categories.groups.Groups.Commutative static method)
(sage.categories.monoids.Monoids static method)
(sage.categories.monoids.Monoids.Commutative static method)
FreeAlgebra (class in sage.categories.examples.algebras_with_basis)
FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups)
FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups)
FreeMonoid (class in sage.categories.examples.monoids)
FreeMonoid.Element (class in sage.categories.examples.monoids)
FreeSemigroup (class in sage.categories.examples.semigroups)
FreeSemigroup.Element (class in sage.categories.examples.semigroups)
from_base_ring() (sage.categories.unital_algebras.UnitalAlgebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_base_ring_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
from_set() (sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
full_super_categories() (sage.categories.category.Category method)
FunctionFields (class in sage.categories.function_fields)
FunctionFields.ElementMethods (class in sage.categories.function_fields)
FunctionFields.ParentMethods (class in sage.categories.function_fields)
Functor (class in sage.categories.functor)
FunctorialConstructionCategory (class in sage.categories.covariant_functorial_construction)
fuss_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)

G

gcd() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
gcd_free_basis() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
GcdDomains (class in sage.categories.gcd_domains)
GcdDomains.ElementMethods (class in sage.categories.gcd_domains)
GcdDomains.ParentMethods (class in sage.categories.gcd_domains)
ge() (sage.categories.posets.Posets.ParentMethods method)
GeneralizedCoxeterGroups (class in sage.categories.generalized_coxeter_groups)
GeneralizedCoxeterGroups.Finite (class in sage.categories.generalized_coxeter_groups)
generating_series() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
gens() (sage.categories.pushout.PermutationGroupFunctor method)
get_axiom_index() (in module sage.categories.category_cy_helper)
Graded (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Graded() (sage.categories.modules.Modules.SubcategoryMethods method)
graded_algebra() (sage.categories.filtered_algebras.FilteredAlgebras.ParentMethods method)
(sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
(sage.categories.graded_algebras.GradedAlgebras.ParentMethods method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method)
(sage.categories.super_algebras.SuperAlgebras.ParentMethods method)
(sage.categories.super_algebras_with_basis.SuperAlgebrasWithBasis.ParentMethods method)
graded_component() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
GradedAlgebras (class in sage.categories.graded_algebras)
GradedAlgebras.ElementMethods (class in sage.categories.graded_algebras)
GradedAlgebras.ParentMethods (class in sage.categories.graded_algebras)
GradedAlgebrasWithBasis (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_algebras_with_basis)
GradedBialgebras() (in module sage.categories.graded_bialgebras)
GradedBialgebrasWithBasis() (in module sage.categories.graded_bialgebras_with_basis)
GradedCoalgebras() (in module sage.categories.graded_coalgebras)
GradedCoalgebrasWithBasis() (in module sage.categories.graded_coalgebras_with_basis)
GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator (class in sage.categories.examples.graded_connected_hopf_algebras_with_basis)
GradedHopfAlgebras() (in module sage.categories.graded_hopf_algebras)
GradedHopfAlgebrasWithBasis (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.WithRealizations (class in sage.categories.graded_hopf_algebras_with_basis)
GradedModules (class in sage.categories.graded_modules)
GradedModules.ElementMethods (class in sage.categories.graded_modules)
GradedModules.ParentMethods (class in sage.categories.graded_modules)
GradedModulesCategory (class in sage.categories.graded_modules)
GradedModulesWithBasis (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ElementMethods (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ParentMethods (class in sage.categories.graded_modules_with_basis)
GradedPartitionModule (class in sage.categories.examples.graded_modules_with_basis)
grading() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grading_set() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
Graphs (class in sage.categories.graphs)
Graphs.ParentMethods (class in sage.categories.graphs)
grassmannian_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
group() (sage.categories.groups.Groups.Algebras.ParentMethods method)
group_generators() (sage.categories.groups.Groups.CartesianProducts.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
GroupAlgebras() (in module sage.categories.group_algebras)
Groupoid (class in sage.categories.groupoid)
Groups (class in sage.categories.groups)
Groups.Algebras (class in sage.categories.groups)
Groups.Algebras.ElementMethods (class in sage.categories.groups)
Groups.Algebras.ParentMethods (class in sage.categories.groups)
Groups.CartesianProducts (class in sage.categories.groups)
Groups.CartesianProducts.ParentMethods (class in sage.categories.groups)
Groups.Commutative (class in sage.categories.groups)
Groups.ElementMethods (class in sage.categories.groups)
Groups.ParentMethods (class in sage.categories.groups)
Groups.Topological (class in sage.categories.groups)
GSets (class in sage.categories.g_sets)
gt() (sage.categories.posets.Posets.ParentMethods method)

H

has_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_full_support() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_left_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_right_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup.Element method)
HeckeModules (class in sage.categories.hecke_modules)
HeckeModules.Homsets (class in sage.categories.hecke_modules)
HeckeModules.Homsets.ParentMethods (class in sage.categories.hecke_modules)
HeckeModules.ParentMethods (class in sage.categories.hecke_modules)
highest_weight_vector() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
highest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.TensorProducts.ParentMethods method)
HighestWeightCrystalHomset (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalMorphism (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalOfTypeA (class in sage.categories.examples.crystals)
HighestWeightCrystalOfTypeA.Element (class in sage.categories.examples.crystals)
HighestWeightCrystals (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ElementMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ParentMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.TensorProducts (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.TensorProducts.ParentMethods (class in sage.categories.highest_weight_crystals)
hochschild_complex() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
holomorph() (sage.categories.groups.Groups.ParentMethods method)
Hom() (in module sage.categories.homset)
hom() (in module sage.categories.homset)
hom_category() (sage.categories.objects.Objects.SubcategoryMethods method)
homogeneous_component() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
homogeneous_component_basis() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
homogeneous_degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
Homset (class in sage.categories.homset)
homset_category() (sage.categories.homset.Homset method)
Homsets (class in sage.categories.homsets)
Homsets() (sage.categories.objects.Objects.SubcategoryMethods method)
Homsets.Endset (class in sage.categories.homsets)
Homsets.SubcategoryMethods (class in sage.categories.homsets)
HomsetsCategory (class in sage.categories.homsets)
HomsetsOf (class in sage.categories.homsets)
HomsetWithBase (class in sage.categories.homset)
HopfAlgebras (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Morphism (class in sage.categories.hopf_algebras)
HopfAlgebras.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Super (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebrasWithBasis (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HTrivial (sage.categories.semigroups.Semigroups attribute)
HTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
HTrivialSemigroups (class in sage.categories.h_trivial_semigroups)

I

ideal() (sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
ideal_monoid() (sage.categories.rings.Rings.ParentMethods method)
idempotent_lift() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
IdempotentSemigroups (class in sage.categories.examples.semigroups_cython)
IdempotentSemigroupsElementMethods (class in sage.categories.examples.semigroups_cython)
identity() (sage.categories.homset.Homset method)
IdentityConstructionFunctor (class in sage.categories.pushout)
IdentityFunctor() (in module sage.categories.functor)
IdentityFunctor_generic (class in sage.categories.functor)
IdentityMorphism (class in sage.categories.morphism)
im_gens() (sage.categories.crystals.CrystalMorphismByGenerators method)
image() (sage.categories.crystals.CrystalMorphismByGenerators method)
(sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
image_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups)
IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups)
index_set() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
indices() (sage.categories.examples.with_realizations.SubsetAlgebra method)
indices_cmp() (sage.categories.examples.with_realizations.SubsetAlgebra method)
indices_key() (sage.categories.examples.with_realizations.SubsetAlgebra method)
induced_graded_map() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
Infinite (sage.categories.enumerated_sets.EnumeratedSets attribute)
Infinite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets)
InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets)
InfinitePolynomialFunctor (class in sage.categories.pushout)
inject_shorthands() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
IntegerModMonoid (class in sage.categories.examples.finite_monoids)
IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids)
IntegersCompletion (class in sage.categories.examples.facade_sets)
IntegralDomains (class in sage.categories.integral_domains)
IntegralDomains.ElementMethods (class in sage.categories.integral_domains)
IntegralDomains.ParentMethods (class in sage.categories.integral_domains)
Inverse (sage.categories.monoids.Monoids attribute)
Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method)
inverse() (sage.categories.map.Section method)
Inverse_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
InverseAction (class in sage.categories.action)
inversion_arrangement() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversion_sequence() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_abelian() (sage.categories.category.Category method)
(sage.categories.category_types.AbelianCategory method)
(sage.categories.modules_with_basis.ModulesWithBasis method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis method)
is_affine_grassmannian() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_Category() (in module sage.categories.category)
is_central() (sage.categories.monoids.Monoids.Algebras.ElementMethods method)
is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_commutative() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.magmas.Magmas.Commutative.ParentMethods method)
is_connected() (sage.categories.crystals.Crystals.ParentMethods method)
is_construction_defined_by_base() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
is_coxeter_sortable() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_embedding() (sage.categories.crystals.Crystals.MorphismMethods method)
is_empty() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
is_endomorphism() (sage.categories.morphism.Morphism method)
is_endomorphism_set() (sage.categories.homset.Homset method)
is_Endset() (in module sage.categories.homset)
is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
is_even() (sage.categories.super_modules.SuperModules.ElementMethods method)
is_even_odd() (sage.categories.super_modules.SuperModules.ElementMethods method)
(sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
is_field() (sage.categories.fields.Fields.ParentMethods method)
is_finite() (sage.categories.finite_sets.FiniteSets.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
is_full_subcategory() (sage.categories.category.Category method)
is_Functor() (in module sage.categories.functor)
is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_homogeneous() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
is_Homset() (in module sage.categories.homset)
is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method)
(sage.categories.magmas.Magmas.ElementMethods method)
is_idempotent_cpdef() (sage.categories.examples.semigroups_cython.IdempotentSemigroupsElementMethods method)
is_identity() (sage.categories.morphism.Morphism method)
is_identity_decomposition_into_orthogonal_idempotents() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
is_injective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_integral_domain() (sage.categories.integral_domains.IntegralDomains.ParentMethods method)
is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method)
is_isomorphism() (sage.categories.crystals.Crystals.MorphismMethods method)
(sage.categories.regular_crystals.RegularCrystals.MorphismMethods method)
is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
is_left() (sage.categories.action.Action method)
is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_Map() (in module sage.categories.map)
is_Morphism() (in module sage.categories.morphism)
is_odd() (sage.categories.super_modules.SuperModules.ElementMethods method)
is_one() (sage.categories.monoids.Monoids.ElementMethods method)
is_order_filter() (sage.categories.posets.Posets.ParentMethods method)
is_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
is_perfect() (sage.categories.fields.Fields.ParentMethods method)
is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
is_real() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
is_ring() (sage.categories.rings.Rings.ParentMethods method)
is_selfdual() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_strict() (sage.categories.crystals.Crystals.MorphismMethods method)
is_subcategory() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
is_super_homogeneous() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
is_surjective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method)
is_unit() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.rings.Rings.ElementMethods method)
is_well_generated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
is_zero() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.rings.Rings.ParentMethods method)
IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets)
IsomorphicObjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects)
isotypic_projective_modules() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)

J

j_classes() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_classes_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_transversal_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
join() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
join_as_tuple() (in module sage.categories.category_cy_helper)
join_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
join_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
JoinCategory (class in sage.categories.category)
JTrivial (sage.categories.semigroups.Semigroups attribute)
JTrivial() (sage.categories.magmas.Magmas.SubcategoryMethods method)
(sage.categories.semigroups.Semigroups.SubcategoryMethods method)
JTrivialSemigroups (class in sage.categories.j_trivial_semigroups)

K

kernel() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
kernel_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
KroneckerQuiverPathAlgebra (class in sage.categories.examples.finite_dimensional_algebras_with_basis)

L

Lambda() (sage.categories.crystals.Crystals.ParentMethods method)
last() (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
latex() (sage.categories.crystals.Crystals.ParentMethods method)
latex_file() (sage.categories.crystals.Crystals.ParentMethods method)
LatticePosets (class in sage.categories.lattice_posets)
LatticePosets.ParentMethods (class in sage.categories.lattice_posets)
LaurentPolynomialFunctor (class in sage.categories.pushout)
lcm() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
le() (sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.posets.PositiveIntegersOrderedByDivisibilityFacade method)
(sage.categories.posets.Posets.ParentMethods method)
leading_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
left_base_ring() (sage.categories.bimodules.Bimodules method)
left_domain() (sage.categories.action.Action method)
left_inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
left_pieri_factorizations() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
LeftModules (class in sage.categories.left_modules)
LeftModules.ElementMethods (class in sage.categories.left_modules)
LeftModules.ParentMethods (class in sage.categories.left_modules)
LeftRegularBand (class in sage.categories.examples.finite_semigroups)
LeftRegularBand.Element (class in sage.categories.examples.finite_semigroups)
LeftZeroSemigroup (class in sage.categories.examples.semigroups)
(class in sage.categories.examples.semigroups_cython)
LeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
LeftZeroSemigroupElement (class in sage.categories.examples.semigroups_cython)
length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
Lie (sage.categories.groups.Groups attribute)
LieGroups (class in sage.categories.lie_groups)
lift() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ElementMethods method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
linear_combination() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
list() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
long_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
lower_cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
lowest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
lt() (sage.categories.posets.Posets.ParentMethods method)
LTrivial (sage.categories.semigroups.Semigroups attribute)
LTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
LTrivialSemigroups (class in sage.categories.l_trivial_semigroups)
lusztig_involution() (sage.categories.classical_crystals.ClassicalCrystals.ElementMethods method)

M

m_cambrian_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
magma_generators() (sage.categories.finitely_generated_magmas.FinitelyGeneratedMagmas.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
Magmas (class in sage.categories.magmas)
Magmas.Algebras (class in sage.categories.magmas)
Magmas.CartesianProducts (class in sage.categories.magmas)
Magmas.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Commutative (class in sage.categories.magmas)
Magmas.Commutative.Algebras (class in sage.categories.magmas)
Magmas.Commutative.CartesianProducts (class in sage.categories.magmas)
Magmas.Commutative.ParentMethods (class in sage.categories.magmas)
Magmas.ElementMethods (class in sage.categories.magmas)
Magmas.JTrivial (class in sage.categories.magmas)
Magmas.ParentMethods (class in sage.categories.magmas)
Magmas.Realizations (class in sage.categories.magmas)
Magmas.Realizations.ParentMethods (class in sage.categories.magmas)
Magmas.SubcategoryMethods (class in sage.categories.magmas)
Magmas.Subquotients (class in sage.categories.magmas)
Magmas.Subquotients.ParentMethods (class in sage.categories.magmas)
Magmas.Unital (class in sage.categories.magmas)
Magmas.Unital.Algebras (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ElementMethods (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.ElementMethods (class in sage.categories.magmas)
Magmas.Unital.Inverse (class in sage.categories.magmas)
Magmas.Unital.Inverse.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.Realizations (class in sage.categories.magmas)
Magmas.Unital.Realizations.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.SubcategoryMethods (class in sage.categories.magmas)
MagmasAndAdditiveMagmas (class in sage.categories.magmas_and_additive_magmas)
MagmasAndAdditiveMagmas.CartesianProducts (class in sage.categories.magmas_and_additive_magmas)
MagmasAndAdditiveMagmas.SubcategoryMethods (class in sage.categories.magmas_and_additive_magmas)
MagmaticAlgebras (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.ParentMethods (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis.ParentMethods (class in sage.categories.magmatic_algebras)
Manifolds (class in sage.categories.manifolds)
Manifolds.AlmostComplex (class in sage.categories.manifolds)
Manifolds.Analytic (class in sage.categories.manifolds)
Manifolds.Connected (class in sage.categories.manifolds)
Manifolds.Differentiable (class in sage.categories.manifolds)
Manifolds.FiniteDimensional (class in sage.categories.manifolds)
Manifolds.ParentMethods (class in sage.categories.manifolds)
Manifolds.Smooth (class in sage.categories.manifolds)
Manifolds.SubcategoryMethods (class in sage.categories.manifolds)
Map (class in sage.categories.map)
map() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
map_coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support_skip_none() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
matrix() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
MatrixAlgebras (class in sage.categories.matrix_algebras)
MatrixFunctor (class in sage.categories.pushout)
maximal_degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
meet() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
meet_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
meet_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
merge() (sage.categories.pushout.AlgebraicClosureFunctor method)
(sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.LaurentPolynomialFunctor method)
(sage.categories.pushout.MatrixFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
(sage.categories.pushout.PermutationGroupFunctor method)
(sage.categories.pushout.PolynomialFunctor method)
(sage.categories.pushout.QuotientFunctor method)
(sage.categories.pushout.SubspaceFunctor method)
(sage.categories.pushout.VectorFunctor method)
metapost() (sage.categories.crystals.Crystals.ParentMethods method)
Metric (sage.categories.sets_cat.Sets attribute)
metric() (sage.categories.metric_spaces.MetricSpaces.ParentMethods method)
Metric() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
MetricSpaces (class in sage.categories.metric_spaces)
MetricSpaces.Complete (class in sage.categories.metric_spaces)
MetricSpaces.ElementMethods (class in sage.categories.metric_spaces)
MetricSpaces.ParentMethods (class in sage.categories.metric_spaces)
MetricSpaces.SubcategoryMethods (class in sage.categories.metric_spaces)
MetricSpaces.WithRealizations (class in sage.categories.metric_spaces)
MetricSpaces.WithRealizations.ParentMethods (class in sage.categories.metric_spaces)
MetricSpacesCategory (class in sage.categories.metric_spaces)
min_demazure_product_greater() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
ModularAbelianVarieties (class in sage.categories.modular_abelian_varieties)
ModularAbelianVarieties.Homsets (class in sage.categories.modular_abelian_varieties)
ModularAbelianVarieties.Homsets.Endset (class in sage.categories.modular_abelian_varieties)
module_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
Modules (class in sage.categories.modules)
Modules.CartesianProducts (class in sage.categories.modules)
Modules.CartesianProducts.ParentMethods (class in sage.categories.modules)
Modules.ElementMethods (class in sage.categories.modules)
Modules.FiniteDimensional (class in sage.categories.modules)
Modules.Homsets (class in sage.categories.modules)
Modules.Homsets.Endset (class in sage.categories.modules)
Modules.Homsets.ParentMethods (class in sage.categories.modules)
Modules.ParentMethods (class in sage.categories.modules)
Modules.SubcategoryMethods (class in sage.categories.modules)
Modules.TensorProducts (class in sage.categories.modules)
ModulesWithBasis (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.DualObjects (class in sage.categories.modules_with_basis)
ModulesWithBasis.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.Homsets (class in sage.categories.modules_with_basis)
ModulesWithBasis.Homsets.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.MorphismMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ParentMethods (class in sage.categories.modules_with_basis)
monoid_generators() (sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
(sage.categories.monoids.Monoids.CartesianProducts.ParentMethods method)
MonoidAlgebras() (in module sage.categories.monoid_algebras)
Monoids (class in sage.categories.monoids)
Monoids.Algebras (class in sage.categories.monoids)
Monoids.Algebras.ElementMethods (class in sage.categories.monoids)
Monoids.Algebras.ParentMethods (class in sage.categories.monoids)
Monoids.CartesianProducts (class in sage.categories.monoids)
Monoids.CartesianProducts.ParentMethods (class in sage.categories.monoids)
Monoids.Commutative (class in sage.categories.monoids)
Monoids.ElementMethods (class in sage.categories.monoids)
Monoids.ParentMethods (class in sage.categories.monoids)
Monoids.Subquotients (class in sage.categories.monoids)
Monoids.Subquotients.ParentMethods (class in sage.categories.monoids)
Monoids.WithRealizations (class in sage.categories.monoids)
Monoids.WithRealizations.ParentMethods (class in sage.categories.monoids)
monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
monomial_coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
monomial_or_zero_if_none() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
monomials() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
Morphism (class in sage.categories.morphism)
morphism_class() (sage.categories.category.Category method)
multiplication_table() (sage.categories.magmas.Magmas.ParentMethods method)
MultiPolynomialFunctor (class in sage.categories.pushout)
MultivariateConstructionFunctor (class in sage.categories.pushout)
MyGroupAlgebra (class in sage.categories.examples.hopf_algebras_with_basis)

N

NaiveCrystal (class in sage.categories.examples.crystals)
NaiveCrystal.Element (class in sage.categories.examples.crystals)
natural_map() (sage.categories.homset.Homset method)
next() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
NonNegativeIntegers (class in sage.categories.examples.infinite_enumerated_sets)
(class in sage.categories.examples.sets_with_grading)
NoZeroDivisors (sage.categories.rings.Rings attribute)
NoZeroDivisors() (sage.categories.rings.Rings.SubcategoryMethods method)
number_of_connected_components() (sage.categories.crystals.Crystals.ParentMethods method)
number_of_reflection_hyperplanes() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
number_of_reflections() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
number_of_reflections_of_full_support() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
NumberFields (class in sage.categories.number_fields)
NumberFields.ElementMethods (class in sage.categories.number_fields)
NumberFields.ParentMethods (class in sage.categories.number_fields)
numerator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)

O

object() (sage.categories.category_types.Elements method)
Objects (class in sage.categories.objects)
Objects.ParentMethods (class in sage.categories.objects)
Objects.SubcategoryMethods (class in sage.categories.objects)
odd_component() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
on_basis() (sage.categories.modules_with_basis.ModulesWithBasis.MorphismMethods method)
on_left_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
one() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.Realizations.ParentMethods method)
(sage.categories.monoids.Monoids.Subquotients.ParentMethods method)
(sage.categories.monoids.Monoids.WithRealizations.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_basis() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.monoids.Monoids.Algebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_element() (sage.categories.monoids.Monoids.ParentMethods method)
one_from_cartesian_product_of_one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
one_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
operation() (sage.categories.action.Action method)
opposition_automorphism() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
or_subcategory() (sage.categories.category.Category method)
order() (sage.categories.groups.Groups.CartesianProducts.ParentMethods method)
order_filter() (sage.categories.posets.Posets.ParentMethods method)
order_filter_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_complement_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_toggle() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_toggles() (sage.categories.posets.Posets.ParentMethods method)
order_ideals_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
orthogonal_idempotents_central_mod_radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)

P

panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
parent() (sage.categories.map.Map method)
parent_class() (sage.categories.category.Category method)
partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids)
peirce_decomposition() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
peirce_summand() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
PermutationGroupFunctor (class in sage.categories.pushout)
PermutationGroups (class in sage.categories.permutation_groups)
Phi() (sage.categories.crystals.Crystals.ElementMethods method)
phi() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
Plane (class in sage.categories.examples.manifolds)
plot() (sage.categories.crystals.Crystals.ParentMethods method)
plot3d() (sage.categories.crystals.Crystals.ParentMethods method)
PointedSets (class in sage.categories.pointed_sets)
PolyhedralSets (class in sage.categories.polyhedra)
PolynomialFunctor (class in sage.categories.pushout)
PoorManComposeMap (class in sage.categories.poor_man_map)
PoorManMap (class in sage.categories.poor_man_map)
Posets (class in sage.categories.posets)
Posets.ElementMethods (class in sage.categories.posets)
Posets.ParentMethods (class in sage.categories.posets)
PositiveIntegerMonoid (class in sage.categories.examples.facade_sets)
PositiveIntegersOrderedByDivisibilityFacade (class in sage.categories.examples.posets)
PositiveIntegersOrderedByDivisibilityFacade.element_class (class in sage.categories.examples.posets)
post_compose() (sage.categories.map.Map method)
powers() (sage.categories.monoids.Monoids.ElementMethods method)
pre_compose() (sage.categories.map.Map method)
precision_absolute() (sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields.ElementMethods method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings.ElementMethods method)
precision_relative() (sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields.ElementMethods method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings.ElementMethods method)
PrecomposedAction (class in sage.categories.action)
PrimeNumbers (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Facade (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat)
principal_ideal() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
principal_lower_set() (sage.categories.posets.Posets.ParentMethods method)
principal_order_filter() (sage.categories.posets.Posets.ParentMethods method)
principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
principal_upper_set() (sage.categories.posets.Posets.ParentMethods method)
PrincipalIdealDomains (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains)
print_compare() (in module sage.categories.sets_cat)
prod() (sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
product() (sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.magmas.Magmas.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.ParentMethods method)
(sage.categories.magmas.Magmas.Subquotients.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
product_by_coercion() (sage.categories.magmas.Magmas.Realizations.ParentMethods method)
product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method)
product_on_basis() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
projection() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method)
pushforward() (sage.categories.morphism.Morphism method)
pushout() (in module sage.categories.pushout)
(sage.categories.pushout.ConstructionFunctor method)
pushout_lattice() (in module sage.categories.pushout)

Q

q_dimension() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
quantum_bruhat_graph() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
quantum_bruhat_successors() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
quo() (sage.categories.rings.Rings.ParentMethods method)
quo_rem() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
quotient() (sage.categories.rings.Rings.ParentMethods method)
quotient_module() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
quotient_ring() (sage.categories.rings.Rings.ParentMethods method)
QuotientFields (class in sage.categories.quotient_fields)
QuotientFields.ElementMethods (class in sage.categories.quotient_fields)
QuotientFields.ParentMethods (class in sage.categories.quotient_fields)
QuotientFunctor (class in sage.categories.pushout)
QuotientOfLeftZeroSemigroup (class in sage.categories.examples.semigroups)
QuotientOfLeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
Quotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
QuotientsCategory (class in sage.categories.quotients)

R

radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
radical_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method)
(sage.categories.semisimple_algebras.SemisimpleAlgebras.ParentMethods method)
random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
rank() (sage.categories.complex_reflection_groups.ComplexReflectionGroups.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
rational_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method)
Realizations() (in module sage.categories.realizations)
(sage.categories.category.Category method)
realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
RealizationsCategory (class in sage.categories.realizations)
reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_graph() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflections_from_w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
register_as_coercion() (sage.categories.morphism.Morphism method)
register_as_conversion() (sage.categories.morphism.Morphism method)
RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
regular_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
RegularCrystals (class in sage.categories.regular_crystals)
RegularCrystals.ElementMethods (class in sage.categories.regular_crystals)
RegularCrystals.MorphismMethods (class in sage.categories.regular_crystals)
RegularCrystals.ParentMethods (class in sage.categories.regular_crystals)
RegularCrystals.TensorProducts (class in sage.categories.regular_crystals)
required_methods() (sage.categories.category.Category method)
residue_field() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method)
retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
reversed() (sage.categories.homset.Homset method)
right_base_ring() (sage.categories.bimodules.Bimodules method)
right_domain() (sage.categories.action.Action method)
RightModules (class in sage.categories.right_modules)
RightModules.ElementMethods (class in sage.categories.right_modules)
RightModules.ParentMethods (class in sage.categories.right_modules)
ring() (sage.categories.category_types.Category_ideal method)
RingIdeals (class in sage.categories.ring_ideals)
Rings (class in sage.categories.rings)
Rings.ElementMethods (class in sage.categories.rings)
Rings.ParentMethods (class in sage.categories.rings)
Rings.SubcategoryMethods (class in sage.categories.rings)
Rngs (class in sage.categories.rngs)
rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
RTrivial (sage.categories.semigroups.Semigroups attribute)
RTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
RTrivialSemigroups (class in sage.categories.r_trivial_semigroups)

S

s() (sage.categories.crystals.Crystals.ElementMethods method)
sage.categories.action (module)
sage.categories.additive_groups (module)
sage.categories.additive_magmas (module)
sage.categories.additive_monoids (module)
sage.categories.additive_semigroups (module)
sage.categories.affine_weyl_groups (module)
sage.categories.algebra_functor (module)
sage.categories.algebra_ideals (module)
sage.categories.algebra_modules (module)
sage.categories.algebras (module)
sage.categories.algebras_with_basis (module)
sage.categories.aperiodic_semigroups (module)
sage.categories.associative_algebras (module)
sage.categories.bialgebras (module)
sage.categories.bialgebras_with_basis (module)
sage.categories.bimodules (module)
sage.categories.cartesian_product (module)
sage.categories.category (module)
sage.categories.category_cy_helper (module)
sage.categories.category_singleton (module)
sage.categories.category_types (module)
sage.categories.category_with_axiom (module)
sage.categories.classical_crystals (module)
sage.categories.coalgebras (module)
sage.categories.coalgebras_with_basis (module)
sage.categories.coercion_methods (module)
sage.categories.commutative_additive_groups (module)
sage.categories.commutative_additive_monoids (module)
sage.categories.commutative_additive_semigroups (module)
sage.categories.commutative_algebra_ideals (module)
sage.categories.commutative_algebras (module)
sage.categories.commutative_ring_ideals (module)
sage.categories.commutative_rings (module)
sage.categories.complete_discrete_valuation (module)
sage.categories.complex_reflection_groups (module)
sage.categories.covariant_functorial_construction (module)
sage.categories.coxeter_group_algebras (module)
sage.categories.coxeter_groups (module)
sage.categories.crystals (module)
sage.categories.cw_complexes (module)
sage.categories.discrete_valuation (module)
sage.categories.distributive_magmas_and_additive_magmas (module)
sage.categories.division_rings (module)
sage.categories.domains (module)
sage.categories.dual (module)
sage.categories.enumerated_sets (module)
sage.categories.euclidean_domains (module)
sage.categories.examples.algebras_with_basis (module)
sage.categories.examples.commutative_additive_monoids (module)
sage.categories.examples.commutative_additive_semigroups (module)
sage.categories.examples.coxeter_groups (module)
sage.categories.examples.crystals (module)
sage.categories.examples.cw_complexes (module)
sage.categories.examples.facade_sets (module)
sage.categories.examples.finite_coxeter_groups (module)
sage.categories.examples.finite_dimensional_algebras_with_basis (module)
sage.categories.examples.finite_enumerated_sets (module)
sage.categories.examples.finite_monoids (module)
sage.categories.examples.finite_semigroups (module)
sage.categories.examples.finite_weyl_groups (module)
sage.categories.examples.graded_connected_hopf_algebras_with_basis (module)
sage.categories.examples.graded_modules_with_basis (module)
sage.categories.examples.graphs (module)
sage.categories.examples.hopf_algebras_with_basis (module)
sage.categories.examples.infinite_enumerated_sets (module)
sage.categories.examples.manifolds (module)
sage.categories.examples.monoids (module)
sage.categories.examples.posets (module)
sage.categories.examples.semigroups (module)
sage.categories.examples.semigroups_cython (module)
sage.categories.examples.sets_cat (module)
sage.categories.examples.sets_with_grading (module)
sage.categories.examples.with_realizations (module)
sage.categories.facade_sets (module)
sage.categories.fields (module)
sage.categories.filtered_algebras (module)
sage.categories.filtered_algebras_with_basis (module)
sage.categories.filtered_modules (module)
sage.categories.filtered_modules_with_basis (module)
sage.categories.finite_complex_reflection_groups (module)
sage.categories.finite_coxeter_groups (module)
sage.categories.finite_crystals (module)
sage.categories.finite_dimensional_algebras_with_basis (module)
sage.categories.finite_dimensional_bialgebras_with_basis (module)
sage.categories.finite_dimensional_coalgebras_with_basis (module)
sage.categories.finite_dimensional_hopf_algebras_with_basis (module)
sage.categories.finite_dimensional_modules_with_basis (module)
sage.categories.finite_dimensional_semisimple_algebras_with_basis (module)
sage.categories.finite_enumerated_sets (module)
sage.categories.finite_fields (module)
sage.categories.finite_groups (module)
sage.categories.finite_lattice_posets (module)
sage.categories.finite_monoids (module)
sage.categories.finite_permutation_groups (module)
sage.categories.finite_posets (module)
sage.categories.finite_semigroups (module)
sage.categories.finite_sets (module)
sage.categories.finite_weyl_groups (module)
sage.categories.finitely_generated_magmas (module)
sage.categories.finitely_generated_semigroups (module)
sage.categories.function_fields (module)
sage.categories.functor (module)
sage.categories.g_sets (module)
sage.categories.gcd_domains (module)
sage.categories.generalized_coxeter_groups (module)
sage.categories.graded_algebras (module)
sage.categories.graded_algebras_with_basis (module)
sage.categories.graded_bialgebras (module)
sage.categories.graded_bialgebras_with_basis (module)
sage.categories.graded_coalgebras (module)
sage.categories.graded_coalgebras_with_basis (module)
sage.categories.graded_hopf_algebras (module)
sage.categories.graded_hopf_algebras_with_basis (module)
sage.categories.graded_modules (module)
sage.categories.graded_modules_with_basis (module)
sage.categories.graphs (module)
sage.categories.group_algebras (module)
sage.categories.groupoid (module)
sage.categories.groups (module)
sage.categories.h_trivial_semigroups (module)
sage.categories.hecke_modules (module)
sage.categories.highest_weight_crystals (module)
sage.categories.homset (module)
sage.categories.homsets (module)
sage.categories.hopf_algebras (module)
sage.categories.hopf_algebras_with_basis (module)
sage.categories.infinite_enumerated_sets (module)
sage.categories.integral_domains (module)
sage.categories.isomorphic_objects (module)
sage.categories.j_trivial_semigroups (module)
sage.categories.l_trivial_semigroups (module)
sage.categories.lattice_posets (module)
sage.categories.left_modules (module)
sage.categories.lie_groups (module)
sage.categories.magmas (module)
sage.categories.magmas_and_additive_magmas (module)
sage.categories.magmatic_algebras (module)
sage.categories.manifolds (module)
sage.categories.map (module)
sage.categories.matrix_algebras (module)
sage.categories.metric_spaces (module)
sage.categories.modular_abelian_varieties (module)
sage.categories.modules (module)
sage.categories.modules_with_basis (module)
sage.categories.monoid_algebras (module)
sage.categories.monoids (module)
sage.categories.morphism (module)
sage.categories.number_fields (module)
sage.categories.objects (module)
sage.categories.partially_ordered_monoids (module)
sage.categories.permutation_groups (module)
sage.categories.pointed_sets (module)
sage.categories.polyhedra (module)
sage.categories.poor_man_map (module)
sage.categories.posets (module)
sage.categories.primer (module)
sage.categories.principal_ideal_domains (module)
sage.categories.pushout (module)
sage.categories.quotient_fields (module)
sage.categories.quotients (module)
sage.categories.r_trivial_semigroups (module)
sage.categories.realizations (module)
sage.categories.regular_crystals (module)
sage.categories.right_modules (module)
sage.categories.ring_ideals (module)
sage.categories.rings (module)
sage.categories.rngs (module)
sage.categories.schemes (module)
sage.categories.semigroups (module)
sage.categories.semirings (module)
sage.categories.semisimple_algebras (module)
sage.categories.sets_cat (module)
sage.categories.sets_with_grading (module)
sage.categories.sets_with_partial_maps (module)
sage.categories.shephard_groups (module)
sage.categories.simplicial_complexes (module)
sage.categories.subobjects (module)
sage.categories.subquotients (module)
sage.categories.super_algebras (module)
sage.categories.super_algebras_with_basis (module)
sage.categories.super_hopf_algebras_with_basis (module)
sage.categories.super_modules (module)
sage.categories.super_modules_with_basis (module)
sage.categories.tensor (module)
sage.categories.topological_spaces (module)
sage.categories.tutorial (module)
sage.categories.unique_factorization_domains (module)
sage.categories.unital_algebras (module)
sage.categories.vector_spaces (module)
sage.categories.weyl_groups (module)
sage.categories.with_realizations (module)
scaling_factors() (sage.categories.crystals.CrystalMorphism method)
Schemes (class in sage.categories.schemes)
Schemes_over_base (class in sage.categories.schemes)
second() (sage.categories.map.FormalCompositeMap method)
Section (class in sage.categories.map)
section() (sage.categories.map.Map method)
semidirect_product() (sage.categories.groups.Groups.ParentMethods method)
semigroup_generators() (sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
(sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
(sage.categories.semigroups.Semigroups.Quotients.ParentMethods method)
Semigroups (class in sage.categories.semigroups)
Semigroups.Algebras (class in sage.categories.semigroups)
Semigroups.Algebras.ParentMethods (class in sage.categories.semigroups)
Semigroups.CartesianProducts (class in sage.categories.semigroups)
Semigroups.ElementMethods (class in sage.categories.semigroups)
Semigroups.ParentMethods (class in sage.categories.semigroups)
Semigroups.Quotients (class in sage.categories.semigroups)
Semigroups.Quotients.ParentMethods (class in sage.categories.semigroups)
Semigroups.SubcategoryMethods (class in sage.categories.semigroups)
Semigroups.Subquotients (class in sage.categories.semigroups)
Semirings (class in sage.categories.semirings)
Semisimple (sage.categories.algebras.Algebras attribute)
Semisimple() (sage.categories.algebras.Algebras.SubcategoryMethods method)
semisimple_quotient() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
SemisimpleAlgebras (class in sage.categories.semisimple_algebras)
SemisimpleAlgebras.FiniteDimensional (class in sage.categories.semisimple_algebras)
SemisimpleAlgebras.ParentMethods (class in sage.categories.semisimple_algebras)
SetMorphism (class in sage.categories.morphism)
Sets (class in sage.categories.sets_cat)
Sets.Algebras (class in sage.categories.sets_cat)
Sets.CartesianProducts (class in sage.categories.sets_cat)
Sets.CartesianProducts.ElementMethods (class in sage.categories.sets_cat)
Sets.CartesianProducts.ParentMethods (class in sage.categories.sets_cat)
Sets.ElementMethods (class in sage.categories.sets_cat)
Sets.Infinite (class in sage.categories.sets_cat)
Sets.Infinite.ParentMethods (class in sage.categories.sets_cat)
Sets.IsomorphicObjects (class in sage.categories.sets_cat)
Sets.IsomorphicObjects.ParentMethods (class in sage.categories.sets_cat)
Sets.MorphismMethods (class in sage.categories.sets_cat)
Sets.ParentMethods (class in sage.categories.sets_cat)
Sets.Quotients (class in sage.categories.sets_cat)
Sets.Quotients.ParentMethods (class in sage.categories.sets_cat)
Sets.Realizations (class in sage.categories.sets_cat)
Sets.Realizations.ParentMethods (class in sage.categories.sets_cat)
Sets.SubcategoryMethods (class in sage.categories.sets_cat)
Sets.Subobjects (class in sage.categories.sets_cat)
Sets.Subobjects.ParentMethods (class in sage.categories.sets_cat)
Sets.Subquotients (class in sage.categories.sets_cat)
Sets.Subquotients.ElementMethods (class in sage.categories.sets_cat)
Sets.Subquotients.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods.Realizations (class in sage.categories.sets_cat)
SetsWithGrading (class in sage.categories.sets_with_grading)
SetsWithGrading.ParentMethods (class in sage.categories.sets_with_grading)
SetsWithPartialMaps (class in sage.categories.sets_with_partial_maps)
shard_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
ShephardGroups (class in sage.categories.shephard_groups)
simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_projections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_reflection() (sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
SimplicialComplexes (class in sage.categories.simplicial_complexes)
SimplicialComplexes.Finite (class in sage.categories.simplicial_complexes)
SimplicialComplexes.Finite.ParentMethods (class in sage.categories.simplicial_complexes)
SimplicialComplexes.ParentMethods (class in sage.categories.simplicial_complexes)
Smooth() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
some_elements() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.Finite.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
special_node() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
standard_coxeter_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
stanley_symmetric_function() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stanley_symmetric_function_as_polynomial() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stembridgeDel_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDel_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeTriple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
structure() (sage.categories.category.Category method)
subcategory_class() (sage.categories.category.Category method)
subcrystal() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
submodule() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
submonoid() (sage.categories.monoids.Monoids.ParentMethods method)
Subobjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubobjectsCategory (class in sage.categories.subobjects)
Subquotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubquotientsCategory (class in sage.categories.subquotients)
subsemigroup() (sage.categories.semigroups.Semigroups.ParentMethods method)
subset() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
SubsetAlgebra (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases.ParentMethods (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Fundamental (class in sage.categories.examples.with_realizations)
SubsetAlgebra.In (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Out (class in sage.categories.examples.with_realizations)
SubspaceFunctor (class in sage.categories.pushout)
succ_generators() (sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
sum() (sage.categories.additive_monoids.AdditiveMonoids.ParentMethods method)
sum_of_monomials() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
sum_of_terms() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
summand_projection() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
summand_split() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
summation() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
summation_from_element_class_add() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
Super (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Super() (sage.categories.modules.Modules.SubcategoryMethods method)
super_categories() (sage.categories.additive_magmas.AdditiveMagmas method)
(sage.categories.affine_weyl_groups.AffineWeylGroups method)
(sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_types.ChainComplexes method)
(sage.categories.category_types.Elements method)
(sage.categories.category_with_axiom.Bars method)
(sage.categories.category_with_axiom.Blahs method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.category_with_axiom.TestObjects method)
(sage.categories.category_with_axiom.TestObjectsOverBaseRing method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.coalgebras.Coalgebras method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.commutative_ring_ideals.CommutativeRingIdeals method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.cw_complexes.CWComplexes method)
(sage.categories.discrete_valuation.DiscreteValuationFields method)
(sage.categories.discrete_valuation.DiscreteValuationRings method)
(sage.categories.domains.Domains method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.euclidean_domains.EuclideanDomains method)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases method)
(sage.categories.function_fields.FunctionFields method)
(sage.categories.g_sets.GSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.WithRealizations method)
(sage.categories.graphs.Graphs method)
(sage.categories.groupoid.Groupoid method)
(sage.categories.hecke_modules.HeckeModules method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.homsets.Homsets method)
(sage.categories.homsets.HomsetsOf method)
(sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.lattice_posets.LatticePosets method)
(sage.categories.left_modules.LeftModules method)
(sage.categories.lie_groups.LieGroups method)
(sage.categories.magmas.Magmas method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas method)
(sage.categories.magmatic_algebras.MagmaticAlgebras method)
(sage.categories.manifolds.ComplexManifolds method)
(sage.categories.manifolds.Manifolds method)
(sage.categories.matrix_algebras.MatrixAlgebras method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.modules.Modules method)
(sage.categories.number_fields.NumberFields method)
(sage.categories.objects.Objects method)
(sage.categories.partially_ordered_monoids.PartiallyOrderedMonoids method)
(sage.categories.permutation_groups.PermutationGroups method)
(sage.categories.pointed_sets.PointedSets method)
(sage.categories.polyhedra.PolyhedralSets method)
(sage.categories.posets.Posets method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.quotient_fields.QuotientFields method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.right_modules.RightModules method)
(sage.categories.ring_ideals.RingIdeals method)
(sage.categories.schemes.Schemes method)
(sage.categories.schemes.Schemes_over_base method)
(sage.categories.semisimple_algebras.SemisimpleAlgebras method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods.Realizations method)
(sage.categories.sets_with_grading.SetsWithGrading method)
(sage.categories.sets_with_partial_maps.SetsWithPartialMaps method)
(sage.categories.shephard_groups.ShephardGroups method)
(sage.categories.simplicial_complexes.SimplicialComplexes method)
(sage.categories.super_modules.SuperModules method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
SuperAlgebras (class in sage.categories.super_algebras)
SuperAlgebras.ParentMethods (class in sage.categories.super_algebras)
SuperAlgebrasWithBasis (class in sage.categories.super_algebras_with_basis)
SuperAlgebrasWithBasis.ParentMethods (class in sage.categories.super_algebras_with_basis)
SuperHopfAlgebrasWithBasis (class in sage.categories.super_hopf_algebras_with_basis)
SuperModules (class in sage.categories.super_modules)
SuperModules.ElementMethods (class in sage.categories.super_modules)
SuperModules.ParentMethods (class in sage.categories.super_modules)
SuperModulesCategory (class in sage.categories.super_modules)
SuperModulesWithBasis (class in sage.categories.super_modules_with_basis)
SuperModulesWithBasis.ElementMethods (class in sage.categories.super_modules_with_basis)
SuperModulesWithBasis.ParentMethods (class in sage.categories.super_modules_with_basis)
support() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
support_of_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
supsets() (sage.categories.examples.with_realizations.SubsetAlgebra method)
Surface (class in sage.categories.examples.cw_complexes)
Surface.Element (class in sage.categories.examples.cw_complexes)
SymmetricGroup (class in sage.categories.examples.finite_weyl_groups)
SymmetricGroup.Element (class in sage.categories.examples.finite_weyl_groups)

T

tensor (in module sage.categories.tensor)
tensor() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
tensor_square() (sage.categories.modules.Modules.ParentMethods method)
TensorProductFunctor (class in sage.categories.tensor)
TensorProducts() (sage.categories.crystals.Crystals.SubcategoryMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
(sage.categories.tensor.TensorProductsCategory method)
TensorProductsCategory (class in sage.categories.tensor)
term() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
terms() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
TestObjects (class in sage.categories.category_with_axiom)
TestObjects.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjects.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Unital (class in sage.categories.category_with_axiom)
the_answer() (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
then() (sage.categories.map.FormalCompositeMap method)
to_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_matrix() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
to_module_generator() (sage.categories.crystals.CrystalMorphismByGenerators method)
toggling_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
toggling_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
Topological (sage.categories.sets_cat.Sets attribute)
Topological() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
TopologicalSpaces (class in sage.categories.topological_spaces)
TopologicalSpaces.Compact (class in sage.categories.topological_spaces)
TopologicalSpaces.Connected (class in sage.categories.topological_spaces)
TopologicalSpaces.SubcategoryMethods (class in sage.categories.topological_spaces)
TopologicalSpacesCategory (class in sage.categories.topological_spaces)
trailing_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trivial_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
truncate() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
type_to_parent() (in module sage.categories.pushout)

U

uncamelcase() (in module sage.categories.category_with_axiom)
uniformizer() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method)
UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains)
Unital (sage.categories.associative_algebras.AssociativeAlgebras attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
(sage.categories.rngs.Rngs attribute)
(sage.categories.semigroups.Semigroups attribute)
Unital() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
Unital_extra_super_categories() (sage.categories.category_with_axiom.Bars method)
UnitalAlgebras (class in sage.categories.unital_algebras)
UnitalAlgebras.ParentMethods (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis.ParentMethods (class in sage.categories.unital_algebras)
unpickle_map() (in module sage.categories.map)
unrank() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)

V

valuation() (sage.categories.discrete_valuation.DiscreteValuationFields.ElementMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
VectorFunctor (class in sage.categories.pushout)
VectorSpaces (class in sage.categories.vector_spaces)
VectorSpaces.CartesianProducts (class in sage.categories.vector_spaces)
VectorSpaces.DualObjects (class in sage.categories.vector_spaces)
VectorSpaces.ElementMethods (class in sage.categories.vector_spaces)
VectorSpaces.ParentMethods (class in sage.categories.vector_spaces)
VectorSpaces.TensorProducts (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.CartesianProducts (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.TensorProducts (class in sage.categories.vector_spaces)
vertices() (sage.categories.examples.graphs.Cycle method)
(sage.categories.graphs.Graphs.ParentMethods method)
virtualization() (sage.categories.crystals.CrystalMorphism method)

W

w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_order_ideal() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
weak_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weight() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
weight_lattice_realization() (sage.categories.crystals.Crystals.ParentMethods method)
WellGenerated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.SubcategoryMethods method)
WeylGroups (class in sage.categories.weyl_groups)
WeylGroups.ElementMethods (class in sage.categories.weyl_groups)
WeylGroups.ParentMethods (class in sage.categories.weyl_groups)
WithBasis (sage.categories.algebras.Algebras attribute)
(sage.categories.bialgebras.Bialgebras attribute)
(sage.categories.coalgebras.Coalgebras attribute)
(sage.categories.hopf_algebras.HopfAlgebras attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.semisimple_algebras.SemisimpleAlgebras.FiniteDimensional attribute)
WithBasis() (sage.categories.modules.Modules.SubcategoryMethods method)
WithRealizations() (in module sage.categories.with_realizations)
(sage.categories.category.Category method)
WithRealizationsCategory (class in sage.categories.with_realizations)
wrapped_class (sage.categories.examples.finite_monoids.IntegerModMonoid.Element attribute)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion.Element attribute)

X

xgcd() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)

Z

zero() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Homsets.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods method)
(sage.categories.examples.commutative_additive_monoids.FreeCommutativeAdditiveMonoid method)
(sage.categories.modules.Modules.Homsets.ParentMethods method)
zero_element() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)