Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals
Commutative Algebra
2015-01-28 v1
Abstract
In this paper, we prove some well-known results on local cohomology with respect to a pair of ideals in graded version, such as, Independence Theorem, Lichtenbaum-Harshorne Vanishing Theorem, Basic Finiteness and Vanishing Theorem, among others. Besides, we present a generalized version of Melkersson Theorem about Artinianess of modules and a result concerning Artinianess of local cohomology modules.
Keywords
Cite
@article{arxiv.1501.06766,
title = {Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals},
author = {P. H. Lima and V. H. Jorge Perez},
journal= {arXiv preprint arXiv:1501.06766},
year = {2015}
}