Gorenstein cohomology in abelian categories

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dc.creatorSather-Wagstaff, Sean
dc.creatorSharif, Tirdad
dc.creatorWhite, Diana
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:12:24Z
dc.date.available2026-07-07T08:12:24Z
dc.descriptionWe 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.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0706.3739
dc.identifierhttp://arxiv.org/abs/0706.3739
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132442
dc.subjectK-Theory and Homology
dc.subjectCommutative Algebra
dc.subjectPrimary 18G10, 18G15, 18G20, 18G25; Secondary 13D02, 13D05, 13D07
dc.titleGorenstein cohomology in abelian categories
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