Cohomology with support of dimension ≤ d-Reference-Cited by-同舟云学术

Cohomology with support of dimension ≤ d

Published:2016-01-27 Issue:03 Volume:15 Page:1650042
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Zamani N.¹,Bijan-Zadeh M. H.²,Sayedsadeghi M. S.³

Affiliation:

1. Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran

2. Center for Graduate Studies, Payame Noor University, Shahnaz Alley, Shahid Mahmud Noorian St., Tehran, Iran

3. Department of Mathematics, Faculty of Science, Payame Noor University (PNU) Tehran, Iran

Abstract

Let [Formula: see text] be a commutative Noetherian ring, [Formula: see text] be an integer and let [Formula: see text] denote the ideals of [Formula: see text] of dimension [Formula: see text]. For an integer [Formula: see text] and [Formula: see text]-modules [Formula: see text], we define the [Formula: see text]th cohomology module [Formula: see text] and study some of its properties. Some vanishing results will be proved and the connection between the vanishing of this cohomology modules with the dimension of certain subsets of [Formula: see text] will be investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500420

Reference12 articles.

1. On the singular sets of modules

2. A common generalization of local cohomology theories

3. Local Cohomology

4. Cohen-Macaulay Rings

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