- 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)
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- 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)
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