- International Electronic Journal of Algebra
- Vol: 7 Issue: 7
- WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY
WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY
Authors : Naser Zamani
Pages : 95-101
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Publication Date : 2010-06-01
Article Type : Other
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