Local Cohomology Modules, Serre Subcategories and Derived Functors of Torsion Functors-Reference-Cited by-同舟云学术

Local Cohomology Modules, Serre Subcategories and Derived Functors of Torsion Functors

Published:2012-10-31 Issue:spec01 Volume:19 Page:1187-1196
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Khashyarmanesh K.¹,Khosh-Ahang F.²

Affiliation:

1. Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran

2. Department of Mathematics, Ilam University, P.O. Box 69315-516, Ilam, Iran

Abstract

In this research, by using filter regular sequences, we obtain some exact sequences of right or left derived functors of local cohomology modules. Then we use them to gain some conditions under which a right or left derived functor of some special functors over local cohomology modules belongs to a Serre subcategory. These results can conclude some generalizations of previous results in this context or regain some of them.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386712000971

Reference33 articles.

1. Local cohomology and Serre subcategories

2. A generalization of the cofiniteness problem in local cohomology modules

3. Some results on associated primes of local cohomology modules

4. A common generalization of local cohomology theories

5. A finiteness result for associated primes of local cohomology modules

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1. A Remark on Two Solvability Criteria of Thompson;Communications in Algebra;2013-01-31

2. On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension;Communications in Algebra;2013-01-31