Annihilators and attached primes of top general local cohomology modules

Articles in Press

Document Type : Original Article

Authors

Department of Mathematics, Payame Noor University(PNU), Tehran, Iran

Abstract

Let $\mathrm{R}$ be a commutative Noetherian local ring, $\mathrm{M}$ be a non-zero finitely generated $\mathrm{R}$-module of dimension $d$ and $\Phi$ be a system of ideals of $\mathrm R$. For each $i>d,$ $\large H_{ \Phi}^i (M)$ is zero and $\large H_{ \Phi}^d (M)$ is Artinian. In this paper, we determine the annihilator and the set of attached prime ideals of top general local cohomology module $\large H_{ \Phi}^d (M).$

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AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 20 January 2026

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