Bases: sage.categories.category.Category
The category of partially ordered monoids, that is partially ordered sets which are also monoids, and such that multiplication preserves the ordering: implies and .
http://en.wikipedia.org/wiki/Ordered_monoid
EXAMPLES:
sage: PartiallyOrderedMonoids()
Category of partially ordered monoids
sage: PartiallyOrderedMonoids().super_categories()
[Category of partially ordered sets, Category of monoids]
TESTS:
sage: TestSuite(PartiallyOrderedMonoids()).run()
EXAMPLES:
sage: PartiallyOrderedMonoids().super_categories()
[Category of partially ordered sets, Category of monoids]