Balance in stable categories

Details Balance in stable categories Balance in stable categories

2006-10-03

arxiv.org/abs/math/0610122v1

Algebras and Representation Theory (2009) 12: 543-566

Mathematics

Category Theory

20 pages

Scientific paper

10.1007/s10468-008-9113-6

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.

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