On the cofiniteness of Artinian local cohomology modules-Reference-Cited by-同舟云学术

On the cofiniteness of Artinian local cohomology modules

Published:2016-02-19 Issue:04 Volume:15 Page:1650070
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ghasemi Ghader¹,Bahmanpour Kamal¹²,A’zami Jafar¹

Affiliation:

1. Faculty of Mathematical Sciences, Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box: 19395-5746, Tehran, Iran

Abstract

Let [Formula: see text] be a commutative Noetherian local ring, which is a homomorphic image of a Gorenstein local ring and [Formula: see text] an ideal of [Formula: see text]. Let [Formula: see text] be a nonzero finitely generated [Formula: see text]-module and [Formula: see text] be an integer. In this paper we show that, the [Formula: see text]-module [Formula: see text] is nonzero and [Formula: see text]-cofinite if and only if [Formula: see text]. Also, several applications of this result will be included.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500705

Reference32 articles.

1. A Note on the Artinian Cofinite Modules

2. Cofiniteness of extension functors of cofinite modules

3. Some results on associated primes of local cohomology modules

4. Generalization of the Lichtenbaum–Hartshorne Vanishing Theorem

5. Cofiniteness and non-vanishing of local cohomology modules

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