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.

Revised on April 11, 2009 04:19:58 by Toby Bartels (71.104.234.95)