Commutative additive monoids¶
- class sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids(base_category)¶
Bases:
sage.categories.category_with_axiom.CategoryWithAxiom_singleton
The category of commutative additive monoids, that is abelian additive semigroups with a unit
EXAMPLES:
sage: C = CommutativeAdditiveMonoids(); C Category of commutative additive monoids sage: C.super_categories() [Category of additive monoids, Category of commutative additive semigroups] sage: sorted(C.axioms()) ['AdditiveAssociative', 'AdditiveCommutative', 'AdditiveUnital'] sage: C is AdditiveMagmas().AdditiveAssociative().AdditiveCommutative().AdditiveUnital() True
Note
This category is currently empty and only serves as a place holder to make
C.example()
work.