Title : ( on the extension and torsion functors of local cohomology of weakly Laskerian and Matlis reflexive modules )
Authors: Kazem Khashyarmanesh , فهیمه خوش آهنگ قصر ,
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Abstract
Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R and M,N two R-modules. The main purpose of this paper is to study the circumstances under which, for fixed integers j in N_0 and n in N, the R-modules Ext^j_R(N,H^n_a(M)) and Tor^R_j(N,H^n_a(M)) are weakly Laskerian or Matlis reflexive. In this way, we also get to some results about the associated primes, coassociated primes and Bass numbers of H^n_a(M).
Keywords
, Local cohomology modules, Weakly Laskerian modules, Matlis duality functor, Matlis reflexive modules, Extension functor, Torsion functor, Associated prime ideals, Coassociated prime ideals, Bass numbers
@article{paperid:1020717,
author = {Khashyarmanesh, Kazem and فهیمه خوش آهنگ قصر},
title = {on the extension and torsion functors of local cohomology of weakly Laskerian and Matlis reflexive modules},
journal = {Studia Universitatis Babes-Bolyai Mathematica},
year = {2011},
volume = {56},
number = {1},
month = {March},
issn = {0252-1938},
pages = {15--25},
numpages = {10},
keywords = {Local cohomology
modules; Weakly Laskerian modules; Matlis duality functor; Matlis
reflexive modules; Extension functor; Torsion functor; Associated
prime ideals; Coassociated prime ideals; Bass numbers},
}
%0 Journal Article
%T on the extension and torsion functors of local cohomology of weakly Laskerian and Matlis reflexive modules
%A Khashyarmanesh, Kazem
%A فهیمه خوش آهنگ قصر
%J Studia Universitatis Babes-Bolyai Mathematica
%@ 0252-1938
%D 2011
