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- Title
RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES.
- Authors
ZAMANI, NASER; Vamos, P.
- Abstract
Let R be a commutative Noetherian ring, 픞 be an ideal of R and M be an arbitrary R-module. In this paper, among other things, we show that if, for a non-negative integer t, the R-module $\textrm{Ext}^t_R(R/{\mathfrak a}, M)$ is weakly Laskerian and $H^i_{\mathfrak a}(M)$ is 픞-weakly cofinite for all i < t, then, for any weakly Laskerian submodule U of $H^t_{\mathfrak a}(M)$, the R-module $\textrm{Hom}_R(R/{\mathfrak a}, H^t_\mathfrak{a}(M)/U)$ is weakly Laskerian. As a consequence the set of associated primes of $H^t_\mathfrak{a}(M)/U$ is finite.
- Subjects
HOMOLOGY theory; OPERATIONS (Algebraic topology); MODULES (Algebra); ALGEBRA; NOETHERIAN rings; COMMUTATIVE rings; MATHEMATICAL analysis
- Publication
Journal of Algebra & Its Applications, 2011, Vol 10, Issue 2, p303
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498811004586