Title : ( On the Matlis duals and endomorphism rings of Local cohomology modules )
Authors: Kazem Khashyarmanesh ,
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Abstract
Let R be a commutative ring and M be an R -module. There is a canonical map mu_M : R longrightarrow mathrm{End}_R(M) such that for r in R , mu_M(r) is the multiplication map by r on M . In this talk we study the conditions such that for the local cohomology module M:=H^n_ frak{a}(R), mu_M is bijection. Moreover, by using the theory of modules of generalized fractions, we study the R-module J_{b{{it x}} ,frak{a},R}.
Keywords
, Local cohomology module, Endomorphism ring, Matlis dual functor, filter regular sequence
@inproceedings{paperid:1016864,
author = {Khashyarmanesh, Kazem},
title = {On the Matlis duals and endomorphism rings of Local cohomology modules},
booktitle = {Commutative Algebra and Applications to Combinatorics and Algebraic Geometry},
year = {2010},
location = {İstanbul},
keywords = {Local cohomology module; Endomorphism ring; Matlis dual functor; filter regular sequence},
}
%0 Conference Proceedings
%T On the Matlis duals and endomorphism rings of Local cohomology modules
%A Khashyarmanesh, Kazem
%J Commutative Algebra and Applications to Combinatorics and Algebraic Geometry
%D 2010
