Graded category
From Wikipedia, the free encyclopedia
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 element. 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.Cole Train
