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A Unified Approach to Local Cohomology Modules using Serre Classes

Published online by Cambridge University Press:  20 November 2018

Mohsen Asgharzadeh  and
Massoud Tousi
Mohsen Asgharzadeh
Affiliation:
Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran, and , School of Mathematics, Institute for Research in Fundamental Sciences(IPM), P.O. Box 19395-5746, Tehran, Iran e-mail: asgharzadeh@ipm.irmtousi@ipm.ir
Massoud Tousi
Affiliation:
Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran, and , School of Mathematics, Institute for Research in Fundamental Sciences(IPM), P.O. Box 19395-5746, Tehran, Iran e-mail: asgharzadeh@ipm.irmtousi@ipm.ir
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Abstract

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This paper discusses the connection between the local cohomology modules and the Serre classes of $R$-modules. This connection has provided a common language for expressing some results regarding the local cohomology $R$-modules that have appeared in different papers.

Keywords

13D45associated prime idealslocal cohomology modulesSerre class

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 577 - 586
Copyright
Copyright © Canadian Mathematical Society 2010

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