Title : ( Matlis dual of local cohomology modules )
Authors: BATOUL NAAL , Kazem Khashyarmanesh ,
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Abstract
Let (R;m) be a commutative Noetherian local ring, a be an ideal of R and M a fnitely generated R-module such that aM ̸= M and cd(a;M)H grade(a;M) . 1, where cd(a;M) is the cohomological dimension of M with respect to a and grade(a;M) is the M-grade of a. Let D(H) := HomR(R/m;E) be the Matlis dual functor, where E := E(R/m) is the injective hull of the residue R/m. We show that there exists a long exact sequence of local cohomology modules
Keywords
, Local cohomology modules, Matlis dual functor, Filter regular sequences.
@article{paperid:1071072,
author = {NAAL, BATOUL and Khashyarmanesh, Kazem},
title = {Matlis dual of local cohomology modules},
journal = {Czechoslovak Mathematical Journal},
year = {2019},
volume = {70},
number = {1},
month = {September},
issn = {1572-9141},
pages = {1--7},
numpages = {6},
keywords = {Local cohomology modules; Matlis dual functor; Filter regular
sequences.},
}
%0 Journal Article
%T Matlis dual of local cohomology modules
%A NAAL, BATOUL
%A Khashyarmanesh, Kazem
%J Czechoslovak Mathematical Journal
%@ 1572-9141
%D 2019
