Title : ( On the attached prime ideals of generalized local cohomology modules )
Authors: Kazem Khashyarmanesh , Fahimeh Khoshahang Ghasr ,
Full TextAbstract
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 HsHomRPnM N to top generalized local cohomology module Hn+s M N, where PnM 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
local cohomology
@inproceedings{paperid:1009867,
author = {Khashyarmanesh, Kazem and Khoshahang Ghasr, Fahimeh},
title = {On the attached prime ideals of generalized local cohomology modules},
booktitle = {سی و هفتمین کنفرانس ریاضی ایران},
year = {2006},
location = {تبریز, IRAN},
keywords = {local cohomology},
}
%0 Conference Proceedings
%T On the attached prime ideals of generalized local cohomology modules
%A Khashyarmanesh, Kazem
%A Khoshahang Ghasr, Fahimeh
%J سی و هفتمین کنفرانس ریاضی ایران
%D 2006
