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.
TESTS:
sage: TestSuite(CommutativeAdditiveMonoids()).run()