WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY

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International Electronic Journal of Algebra
Volume:7 Issue:7
WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY

WEAKLY LASKERIAN, WEAKLY COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY

Authors : Naser ZAMANİ

Pages : 95-101

View : 9 | Download : 5

Publication Date : 2010-06-01

Article Type : Research Paper

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 Rinsert ignore into journalissuearticles values(M/IM, N); is weakly Laskerian. Then for any weakly Laskerian submodule U of the first non I-weakly cofinite module HtIinsert ignore into journalissuearticles values(M, N);, the R-module HomRinsert ignore into journalissuearticles values(M/IM, HtIinsert ignore into journalissuearticles values(M, N);/U); is weakly Laskerian. As a consequence the set of associated primes of HtIinsert ignore into journalissuearticles values(M, N);/U is finite.
Keywords : Weakly Laskerian modules, weakly cofinite modules, generalized local cohomology

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