A Note on the Vanishing of Certain Local Cohomology Modules

Hellus, Michael (2012) A Note on the Vanishing of Certain Local Cohomology Modules. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 55 (2). pp. 315-318. ISSN 0008-4395,

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Abstract

For a finite module M over a local, equicharacteristic ring (R, m), we show that the well-known formula cd(m, M) = dim M becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new ring-theoretic vanishing criterion for local cohomology modules.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Michael Hellus
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 May 2020 05:15
Last Modified: 13 May 2020 05:15
URI: https://pred.uni-regensburg.de/id/eprint/18652

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