WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY

Year 2010, Volume: 7 Issue: 7, 95 - 101, 01.06.2010

Naser Zamani

Abstract

Let R be a commutative Noetheran ring, I an ideal of R and M be a finitely generated projective R-module. Let N be an R module and t a non-negative integer such that Extt R(M/IM, N) is weakly Laskerian. Then for any weakly Laskerian submodule U of the first non I-weakly cofinite module HtI(M, N), the R-module HomR(M/IM, HtI(M, N)/U) is weakly Laskerian. As a consequence the set of associated primes of HtI(M, N)/U is finite.

Keywords

Weakly Laskerian modules, weakly cofinite modules, generalized local cohomology

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• University of Mohaghegh Ardabili Ardabil, Iran
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