L-trivial semigroups¶
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class
sage.categories.l_trivial_semigroups.
LTrivialSemigroups
(base_category)¶ Bases:
sage.categories.category_with_axiom.CategoryWithAxiom
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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]
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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]
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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]
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