“School of Mathematics”
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| Paper IPM / M / 8906 |
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| Abstract: | |
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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 perfectness for this context. Our main theorem
is a balance result for relative cohomology that simultaneously
recovers theorems of Holm and current authors as special cases.
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