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.
Citation
Sean Sather-Wagstaff. Tirdad Sharif. Diana White. "Gorenstein cohomology in abelian categories." J. Math. Kyoto Univ. 48 (3) 571 - 596, 2008. https://doi.org/10.1215/kjm/1250271384
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