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- W2079561396 abstract "Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M an R-module. We show that, whenever [Formula: see text], M is Noetherian if and only if there exists a submodule N of M such that the R-modules M/𝔞 N and [Formula: see text] are Noetherian. By using this result, we establish Noetherian properties for local cohomology modules [Formula: see text] in several cases. For instance, we obtain a new version of the Lichtenbaum-Hartshorne Vanishing Theorem." @default.
- W2079561396 created "2016-06-24" @default.
- W2079561396 creator A5067556620 @default.
- W2079561396 date "2012-10-31" @default.
- W2079561396 modified "2023-09-26" @default.
- W2079561396 title "Noetherianness and Local Cohomology Modules" @default.
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- W2079561396 doi "https://doi.org/10.1142/s1005386712000697" @default.
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