Algebra Colloquium, ( ISI ), Volume (19), No (4), Year (2012-1) , Pages (693-698)

Title : ( On Weakly Laskerian and Weakly Cofnite Modules )

Authors: Kazem Khashyarmanesh , M. Tamer Kosan , Serap Sahinkaya ,

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Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R and M a fnitely generated R-module. We assume that N is a weakly Laskerian R- module and r is a non-negative integer such that the generalized local cohomology module Hia(M;N) is weakly Laskerian for all i < r. Then we prove that HomR(R-a;Hra(M;N)) is also weakly Laskerian and so Ass(Hra(M;N)) is finite. Moreover, we show that if s is a non-negative integer such that Extj Ext(M;Hia(N)) is weakly Laskerian for all i, j > 0 with i <s, then Ext^j(R-a;Hia(M;N)) is weakly Laskerian for all i< s and j >0. Also, over a Gorenstein local ring R of fnite Krull dimension, we study the question when the socle of Hna (N) is weakly Laskerian ?

Keywords

, local cohomology modules, generalized local cohomology
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@article{paperid:1033902,
author = {Khashyarmanesh, Kazem and M. Tamer Kosan and Serap Sahinkaya},
title = {On Weakly Laskerian and Weakly Cofnite Modules},
journal = {Algebra Colloquium},
year = {2012},
volume = {19},
number = {4},
month = {January},
issn = {1005-3867},
pages = {693--698},
numpages = {5},
keywords = {local cohomology modules; generalized local cohomology modules;},
}

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%0 Journal Article
%T On Weakly Laskerian and Weakly Cofnite Modules
%A Khashyarmanesh, Kazem
%A M. Tamer Kosan
%A Serap Sahinkaya
%J Algebra Colloquium
%@ 1005-3867
%D 2012

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