ar X iv : m at h / 06 10 12 2 v 1 [ m at h . C T ] 3 O ct 2 00 6 BALANCE IN STABLE CATEGORIES
نویسنده
چکیده
We study when the stable category A of an abelian category A modulo a full additive subcategory T is balanced and, in case T is functorially finite in A, we study a weak version of balance for A . Precise necessary and sufficient conditions are given in case T 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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