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arXiv · 0706.3739

Gorenstein cohomology in abelian categories

Sean Sather-Wagstaff·Tirdad Sharif·Diana White
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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.

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Sean Sather-Wagstaff, Tirdad Sharif, Diana White. 2007-06-26. Gorenstein cohomology in abelian categories. https://arxiv.org/abs/0706.3739

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