Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals

Divaani-Aazar, Kamran ; Hajikarimi, Alireza

Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 81-87

Résumé

Let $\mathfrak{a}$ be an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$ -modules. Our main result asserts that if $R/\mathfrak{a}\,\le \,1$ , then all generalized local cohomology modules $H_{\mathfrak{a}}^{i}(M,\,N)$ are $\mathfrak{a}$ -cofinite.

Détail

DOI : 10.4153/CMB-2011-046-8

Mots-clés : 13D45, 13E05, 13E10, cofinite modules, generalized local cohomology modules, local cohomology modules

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