J-trivial semigroups

class sage.categories.j_trivial_semigroups.JTrivialSemigroups(base_category)

Bases: sage.categories.category_with_axiom.CategoryWithAxiom

TESTS:

sage: C = Sets.Finite(); C
Category of finite sets
sage: type(C)
<class 'sage.categories.finite_sets.FiniteSets_with_category'>
sage: type(C).__base__.__base__
<class 'sage.categories.category_with_axiom.CategoryWithAxiom_singleton'>

sage: TestSuite(C).run()
extra_super_categories()

Implement the fact that a \(J\)-trivial semigroup is \(L\) and \(R\)-trivial.

EXAMPLES:

sage: Semigroups().JTrivial().extra_super_categories()
[Category of l trivial semigroups, Category of r trivial semigroups]