Title : ( A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules )
Authors: Kazem Khashyarmanesh , Fahimeh Khoshahang Ghasr ,
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Abstract
The ¯rst part of this paper is concerned with the Artinianness of certain local cohomology modules Hi a (M) when M is a Matlis re°exive module over a commutative Noetherian complete local ring R and a is an ideal of R. Also, we characterize the set of attached prime ideals of Hn a (M), where n is the dimension of M. The second part is concerned with the vanishing of local cohomology and generalized local cohomology modules. In fact, when R is an arbitrary commutative Noetherian ring, M is an R-module and a is an ideal of R, we obtain some lower and upper bounds for the cohomological dimension of M with respect to a.
Keywords
, local cohomology modules, cohomological dimension, cosequences, Matlis re°exive modules, Artinian modules
@article{paperid:1009554,
author = {Khashyarmanesh, Kazem and Khoshahang Ghasr, Fahimeh},
title = {A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules},
journal = {Algebra Colloquium},
year = {2009},
volume = {16},
number = {3},
month = {September},
issn = {1005-3867},
pages = {517--524},
numpages = {7},
keywords = {local cohomology modules; cohomological dimension; cosequences; Matlis
re°exive modules; Artinian modules},
}
%0 Journal Article
%T A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules
%A Khashyarmanesh, Kazem
%A Khoshahang Ghasr, Fahimeh
%J Algebra Colloquium
%@ 1005-3867
%D 2009
