Cofiniteness of generalized local cohomology modules
Kamran Divaani-Aazar ; Reza Sazeedeh
Colloquium Mathematicae, Tome 100 (2004), p. 283-290 / Harvested from The Polish Digital Mathematics Library
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Let denote an ideal of a commutative Noetherian ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that if either is principal, or R is complete local and is a prime ideal with dim R/ = 1, then the generalized local cohomology module Hi(M,N) is -cofinite for all i ≥ 0. This provides an affirmative answer to a question proposed in [13].

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:285027 
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Kamran Divaani-Aazar; Reza Sazeedeh. Cofiniteness of generalized local cohomology modules. Colloquium Mathematicae, Tome 100 (2004) pp. 283-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-12/