Year: 2014
Author: Yan Gu
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 33–40
Abstract
Let $R$ be a commutative Noetherian ring, $I$ and $J$ be two ideals of $R$, and $M$ be an $R$-module. We study the cofiniteness and finiteness of the local cohomology module $H^i_{I,J} (M)$ and give some conditions for the finiteness of Hom$_R(R/I, H^s_{ I,J} (M))$ and Ext$^1_R(R/I, H^s_{I,J} (M))$. Also, we get some results on the attached primes of $H^{{\rm dim}M}_{I,J} (M)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-CMR-18985
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 33–40
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: local cohomology cofinite module attached prime.