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Local cohomology and Gorenstein injective dimension over local homomorphisms

Leila Khatami·Massoud Tousi·Siamak Yassemi
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Abstract

A 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.

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Leila Khatami, Massoud Tousi, Siamak Yassemi. 2006-05-22. Local cohomology and Gorenstein injective dimension over local homomorphisms. https://arxiv.org/abs/math/0605580

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