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Morteza Lotfiparsa

Academic rank: Assistant Professor
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Education: PhD.
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Research

Title
Some results on the attached primes of top local cohomology modules with respect to a pair of ideals
Type
Presentation
Keywords
Attached prime ideal, Cohomological dimension, Local cohomology.
Year
2018
Researchers Morteza Lotfiparsa

Abstract

Let R be a Noetherian local ring, I and J two ideals of R and let M be a nitely generated R-module of dimension n. We study the top local cohomology module Hn I;J (M) with respect to a pair of ideals (I; J). It is proved that AttR Hn I;J (M) = fp 2 AssRM : cd(I; J;R=p) = ng, where cd(I; J;R=p) is the supremum of all integers i for which Hi I;J (R=p) 6= 0.