Algebra Colloquium, ( ISI ), Volume (19), No (1), Year (2012-1) , Pages (1187-1196)

Title : ( Local Cohomology Modules, Serre Subcategories and Derived Functors of Torsion Functors )

Authors: F. Khosh-Ahang , Kazem Khashyarmanesh ,

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In this research, by using fter regular sequences, we obtain some exact se- quences 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.

Keywords

, ¯lter regular sequence, local cohomology module, torsion functor, extension
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@article{paperid:1033899,
author = {F. Khosh-Ahang and Khashyarmanesh, Kazem},
title = {Local Cohomology Modules, Serre Subcategories and Derived Functors of Torsion Functors},
journal = {Algebra Colloquium},
year = {2012},
volume = {19},
number = {1},
month = {January},
issn = {1005-3867},
pages = {1187--1196},
numpages = {9},
keywords = {¯lter regular sequence; local cohomology module;torsion functor; extension functor},
}

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%0 Journal Article
%T Local Cohomology Modules, Serre Subcategories and Derived Functors of Torsion Functors
%A F. Khosh-Ahang
%A Khashyarmanesh, Kazem
%J Algebra Colloquium
%@ 1005-3867
%D 2012

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