Gorenstein cohomology in abelian categories

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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.
22 pages

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K-Theory and Homology, Commutative Algebra, Primary 18G10, 18G15, 18G20, 18G25; Secondary 13D02, 13D05, 13D07

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http://salesiana.dossiersoluciones.com/handle/123456789/132442

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3739
 http://arxiv.org/abs/0706.3739

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arXiv