Balance in stable categories
Category Theory
2010-10-05 v1
Abstract
We study when the stable category of an abelian category modulo a full additive subcategory is balanced and, in case the subcategory is functorially finite, we study a weak version of balance. Precise necessary and sufficient conditions are given in case the subcategory is either a Serre class or a class consisting of projective objects. The results in this second case apply very neatly to (generalizations of) hereditary abelian categories.
Cite
@article{arxiv.math/0610122,
title = {Balance in stable categories},
author = {Pedro Nicolas and Manuel Saorin},
journal= {arXiv preprint arXiv:math/0610122},
year = {2010}
}
Comments
20 pages