Some results on top local cohomology modules with respect to a pair of ideals.

Autor: Jahandoust, Saeed
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Jazyk: angličtina
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Druh dokumentu: Non-fiction
ISSN: 0862-7959
Abstrakt: Abstract: Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies. Also, we characterize when the integral closure of an ideal relative to the Noetherian $R$-module $M/JM$ is equal to its integral closure relative to the Artinian $R$-module $H_{I,J}^{\dim M}(M)$.
Databáze: Katalog Knihovny AV ČR