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A note on the vanishing of certain local cohomology modules
Hellus, Michael (2011) A note on the vanishing of certain local cohomology modules. Preprintreihe der Fakultät Mathematik 19/2011, Working Paper. (In Press)Date of publication of this fulltext: 02 May 2011 08:03
Monograph
DOI to cite this document: 10.5283/epub.20531
Abstract
For a finite module M over a local, equicharacteristic ring (R;m), we show that the well-known formula cd(m;M) = dimM 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.
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 19/2011 |
| Date | 2011 |
| Institutions | Mathematics > Prof. Dr. Michael Hellus |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | In Press |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-205317 |
| Item ID | 20531 |
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