nLab
Frobenius category

A Frobenius category is a Quillen exact category which has enough injectives and enough projectives and where the class of projectives coincides with the class of injectives. The stable category of a Frobenius category is canonically a triangulated category. If a triangulated category TT is triangle equivalent to the stable category of a Frobenius category, then we say that TT is algebraic.

Last revised on April 11, 2009 at 04:19:58. See the history of this page for a list of all contributions to it.