Graded category
A Graded category is a mathematical concept.
If 
is a category, then a
-graded category
is a category 
together with a functor
.
Monoids and groups can be thought of categories with a single object. A monoid-graded or group-graded category is therefore one in which to each morphism is attached an element of a given monoid (resp. group), its grade. This must be compatible with composition, in the sense that compositions have the product grade.
- See also
- graded algebra.