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- W2129729383 abstract "Let [Formula: see text] be an ideal of a commutative Noetherian ring R, and let M and N be finitely generated R-modules. Let [Formula: see text] be the [Formula: see text]-finiteness dimension of N. In this paper, among other things, we show that for each [Formula: see text], (i) the set of associated prime ideals of generalized local cohomology module [Formula: see text] is finite, and (ii) [Formula: see text] is [Formula: see text]-cofinite if and only if [Formula: see text] is so. Moreover, we show that whenever [Formula: see text] is a principal ideal, then [Formula: see text] is [Formula: see text]-cofinite for all n." @default.
- W2129729383 created "2016-06-24" @default.
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- W2129729383 date "2005-06-01" @default.
- W2129729383 modified "2023-10-16" @default.
- W2129729383 title "On the Finiteness Property of Generalized Local Cohomology Modules" @default.
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- W2129729383 doi "https://doi.org/10.1142/s1005386705000283" @default.
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