Title : ( A surjective homomorphism from ordinary local cohomology modules to top generalizedlocal cohomology moduleَ )
Authors: Kazem Khashyarmanesh , Fahimeh Khoshahang Ghasr ,
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Abstract
Let R be a Noetherian local ring, M a finitely generated R-module with finite projective dimension n, N an arbitrary R-module, and be an ideal of R which is generated by s elements. In this article, we provide a surjective homomorphism from ordinary local cohomology module Hs HomR Pn M N to top generalized local cohomology module Hn+s M N , where Pn M is an nth syzygy of a projective resolution of M. Also, by using this epimorphism, we prove some results about the attached primes, coassociated primes, the Betti numbers, and Artinian properties of certain generalized local cohomology modules.
Keywords
Attached primes; Betti numbers; Coassociated primes; Generalized local cohomology modules; Local cohomology modules; Projective dimension.
@article{paperid:1009550,
author = {Khashyarmanesh, Kazem and Khoshahang Ghasr, Fahimeh},
title = {A surjective homomorphism from ordinary local cohomology modules to top generalizedlocal cohomology moduleَ},
journal = {Communications in Algebra},
year = {2007},
number = {35},
month = {March},
issn = {0092-7872},
pages = {3835--3841},
numpages = {6},
keywords = {Attached primes; Betti numbers; Coassociated primes; Generalized local cohomology
modules; Local cohomology modules; Projective dimension.},
}
%0 Journal Article
%T A surjective homomorphism from ordinary local cohomology modules to top generalizedlocal cohomology moduleَ
%A Khashyarmanesh, Kazem
%A Khoshahang Ghasr, Fahimeh
%J Communications in Algebra
%@ 0092-7872
%D 2007
