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Local Cohomology and Sequentially Generalized Cohen-Macaulay Modules


Paper Type 
Contributed Paper
Title 
Local Cohomology and Sequentially Generalized Cohen-Macaulay Modules
Author 
Amir Mafi
Email 
a_mafi@ipm.ir
Abstract:
 Let (R, m) be a commutative Notherian local ring and M a finitely generated R-module with dim M = d. It is shown that M is a sequentially generalized Cohen-Macaulay module if and only if the local cohomology modules Hmj(M) are either of finite length or generalized co-Cohen-Macaulay of Noetherian dimension j for all 0 < j < d-1.
Start & End Page 
1444 - 1448
Received Date 
2011-11-30
Revised Date 
Accepted Date 
2013-08-19
Full Text 
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Keyword 
sequentially generalized cohen-macaulay moduled, local cohomology modules
Volume 
Vol.41 No.5/2 (OCTOBER 2014)
DOI 
Citation 
Mafi A., Local Cohomology and Sequentially Generalized Cohen-Macaulay Modules, Chiang Mai J. Sci., 2014; 41(5/2): 1444-1448.
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Chiang Mai Journal of Science

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