On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

Details On Vanishing and Cofiniteness of Generalized Local Cohomology Modules On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

2008-10-17

arxiv.org/abs/0810.3102v1

Comm. Algebra 37 (2009), no. 7, 2290--2299

Mathematics

Commutative Algebra

10 pages, To appear in Communication in Algebra

Scientific paper

In this paper, some results on vanishing and non-vanishing of generalized local cohomology modules are presented and some relations between those modules and, Ext and ordinary local cohomology modules are studied. Also, several cofiniteness propositions for generalized local cohomology modules are established which, among other things, provide an alternative answer to a question in [Y2].

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