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ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES

Part of: Commutative algebra: Homological methods

Published online by Cambridge University Press:  10 March 2009

YAN GU  and
LIZHONG CHU
YAN GU*
Affiliation:
Department of Mathematics, Soochow University, 215006 Suzhou, Jiangsu, People’s Republic of China (email: guyan@suda.edu.cn)
LIZHONG CHU
Affiliation:
Department of Mathematics, Soochow University, 215006 Suzhou, Jiangsu, People’s Republic of China (email: chulizhong@suda.edu.cn)
*
✉For correspondence; e-mail: guyan@suda.edu.cn
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Abstract

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Let (R,𝔪) be a commutative Noetherian local ring, let I be an ideal of R and let M and N be finitely generated R-modules. Assume that , . First, we give the formula for the attached primes of the top generalized local cohomology module HId+n(M,N); later, we prove that if Att(HId+n(M,N))=Att(HJd+n(M,N)), then HId+n(M,N)=HJd+n(M,N).

Keywords

generalized local cohomology modulesattached primes

MSC classification

Secondary: 13D45: Local cohomology
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 59 - 67
Copyright
Copyright © Australian Mathematical Society 2009

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