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A note on the vanishing of certain local cohomology modules

URN to cite this document:
Hellus, Michael
Date of publication of this fulltext: 02 May 2011 08:03


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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