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2022•Communications in AlgebraRequires access

On shifted principles for attached primes of the Artinian cofinite top local cohomology modules

Mozafar Absardi, Alireza Nazari

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Abstract

Let (R,m) be a Noetherian local ring, I be an ideal of R and M be a finitely generated R-module such that HIt(M) is Artinian and I-cofinite, where t=cd(I,M). In this paper, we establish shifted principles under localization and completion for attached primes of the top local cohomology module HIt(M).

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Let (R,m) be a Noetherian local ring, I be an ideal of R and M be a finitely generated R-module such that HIt(M) is Artinian and I-cofinite, where t=cd(I,M). In this paper, we establish shifted principles under localization and completion for attached primes of the top local cohomology module HIt(M).

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Available abstract

Let (R,m) be a Noetherian local ring, I be an ideal of R and M be a finitely generated R-module such that HIt(M) is Artinian and I-cofinite, where t=cd(I,M). In this paper, we establish shifted principles under localization and completion for attached primes of the top local cohomology module HIt(M).

Key concepts: Mathematics, Local cohomology, Noetherian, Noetherian ring, Local ring, Pure mathematics, Ideal (ethics), Finitely-generated abelian group

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