Gorenstein cohomology in abelian categories
K-Theory and Homology
2007-06-27 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.0706.3739,
title = {Gorenstein cohomology in abelian categories},
author = {Sean Sather-Wagstaff and Tirdad Sharif and Diana White},
journal= {arXiv preprint arXiv:0706.3739},
year = {2007}
}