L-trivial semigroups#

class sage.categories.l_trivial_semigroups.LTrivialSemigroups(base_category)#

Commutative_extra_super_categories()#

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

EXAMPLES:

sage: Semigroups().LTrivial().Commutative_extra_super_categories()
[Category of j trivial semigroups]

RTrivial_extra_super_categories()#

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

EXAMPLES:

sage: Semigroups().LTrivial().RTrivial_extra_super_categories()
[Category of j trivial magmas]

extra_super_categories()#

Implement the fact that a \(L\)-trivial semigroup is \(H\)-trivial.

EXAMPLES:

sage: Semigroups().LTrivial().extra_super_categories()
[Category of h trivial semigroups]