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arXiv · 1502.04982

On the Attached prime ideals of local cohomology modules defined by a pair of ideals

Kh. Ahmadi Amoli·Z. Habibi·M. Jahangiri
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Abstract

Let $I$ and $J$ be two ideals of a commutative Noetherian ring $R$ and $M$ be an $R$-module of dimension $d$. If $R$ is a complete local ring and $M$ is finite, then attached prime ideals of $H^{d-1}_{I,J}(M)$ are computed by means of the concept of co-localization. Also, we illustrate the attached prime ideals of $H^{t}_{I,J}(M)$ on a non-local ring $R$, for $t= \dim M$ and $t= cd(I,J,M)$.

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Kh. Ahmadi Amoli, Z. Habibi, M. Jahangiri. 2015-02-17. On the Attached prime ideals of local cohomology modules defined by a pair of ideals. https://arxiv.org/abs/1502.04982

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