The homological theory of quasi-resolving subcategories

Abstract

As a generalization of a resolving subcategory, which was introduced by Auslander and Bridger in [2], the notion of a quasi-resolving subcategory of an abelian category is introduced. The homological theory on quasi-resolving subcategories is studied. It is shown that many results in [1,2,4-6,8,13,14,17,18,22,25-27] are unified and naturally generated. © 2014 Elsevier Inc.