Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

A Note on the Vanishing of Certain Local Cohomology Modules

Published:2011-03-25
Printed: Jun 2012
• M. Hellus,
Fakultaet fuer Mathematik, Universitaet Regensburg, 93040 Regensburg, Germany
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF

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]

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/