Semirings

class sage.categories.semirings.Semirings(s=None)

Bases: sage.categories.category.Category

The category of semirings.

A semiring is similar to a ring, but without the requirement that each element must have an additive inverse. In other words, it is a combination of a commutative additive monoid and a multiplicative monoid , where distributes over .

See: http://en.wikipedia.org/wiki/Semiring

EXAMPLES:

sage: Semirings()
Category of semirings
sage: Semirings().super_categories()
[Category of commutative additive monoids, Category of monoids]

TESTS:

sage: TestSuite(Semirings()).run()

class ParentMethods

Semirings.super_categories(*args, **kwds)

EXAMPLES:

sage: Semirings().super_categories()
[Category of commutative additive monoids, Category of monoids]