Local cohomology and Gorenstein injective dimension over local homomorphisms

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dc.creatorKhatami, Leila
dc.creatorTousi, Massoud
dc.creatorYassemi, Siamak
dc.date2006-05-22
dc.date.accessioned2026-07-07T07:14:26Z
dc.date.available2026-07-07T07:14:26Z
dc.descriptionA generalization of Grothendieck's non-vanishing theorem is proved for a module which is finite over a local homomorphism. It is also proved that the Gorenstein injective dimension of such a module, if finite, is bounded below by its Krull dimension and is equal to the supremum of the depths of the localizations of the ring over primes in the support of the module.
dc.identifierhttps://arxiv.org/abs/math/0605580
dc.identifierhttp://arxiv.org/abs/math/0605580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112877
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D05, 13D45, 14B15
dc.titleLocal cohomology and Gorenstein injective dimension over local homomorphisms
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