On Vanishing of Generalized Local Cohomology Modules-Reference-Cited by-同舟云学术

On Vanishing of Generalized Local Cohomology Modules

Published:2005-06 Issue:02 Volume:12 Page:213-218
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Divaani-Aazar K.¹²,Sazeedeh R.³⁴,Tousi M.²⁵

Affiliation:

1. Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran

2. Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran

3. Department of Mathematics, Uromeiyeh University, Uromeiyeh, Iran

4. Institute of Mathematics, University for Teacher Education, 599 Taleghani Avenue, Tehran 15614, Iran

5. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Abstract

Let [Formula: see text] denote an ideal of a d-dimensional Gorenstein local ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that [Formula: see text] if and only if [Formula: see text] for all [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386705000209

Reference10 articles.

1. ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES

2. A common generalization of local cohomology theories

3. Local Cohomology

4. Ideal topologies, local cohomology and connectedness

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