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A Note on the Vanishing of Certain Local Cohomology Modules |
Canad. Math. Bull. 55(2012), 315-318
Published:2011-03-25
Printed: Jun 2012
Printed: Jun 2012
- M. Hellus,
Abstract
For a finite module $M$ over a local, equicharacteristic ring $(R,m)$,
we show that the well-known formula $\textrm{cd}(m,M)=\dim M$ 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.
| MSC Classifications: | 13D45 - Local cohomology [See also 14B15] |