Year: 2010
Author: Lizhong Chu
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 230–238
Abstract
Let $(R, m)$ be a commutative Noetherian local ring, $I$ an ideal of $R$ and $M$ a finitely generated $R$-module. Let $\mathop{\rm lim}\limits_{\mathop{n} \limits ^{\longleftarrow}}H^i_m(M/I^nM)$ be the $i$th formal local cohomology module of $M$ with respect to $I$. In this paper, we discuss some properties of formal local cohomology modules $\mathop{\rm lim}\limits_{\mathop{n} \limits ^{\longleftarrow}}H^i_m(M/I^nM)$, which are analogous to the finiteness and Artinianness of local cohomology modules of a finitely generated module.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19155
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 230–238
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: local cohomology formal local cohomology coartinian module minimax module Artinian module.