Gorenstein cohomology in abelian categories

Details Gorenstein cohomology in abelian categories Gorenstein cohomology in abelian categories

2007-06-26

arxiv.org/abs/0706.3739v1

Mathematics

K-Theory and Homology

22 pages

Scientific paper

We investigate relative cohomology functors on subcategories of abelian categories via Auslander-Buchweitz approximations and the resulting strict resolutions. We verify that certain comparison maps between these functors are isomorphisms and introduce a notion of perfection for this context. Our main theorem is a balance result for relative cohomology that simultaneously recovers theorems of Holm and the current authors as special cases.

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