Local cohomology and Gorenstein injective dimension over local homomorphisms
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0605580,
title = {Local cohomology and Gorenstein injective dimension over local homomorphisms},
author = {Leila Khatami and Massoud Tousi and Siamak Yassemi},
journal= {arXiv preprint arXiv:math/0605580},
year = {2007}
}