Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Abstract view

A Note on the Vanishing of Certain Local Cohomology Modules

 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  


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 show english descriptions Local cohomology [See also 14B15] 13D45 - Local cohomology [See also 14B15]

© Canadian Mathematical Society, 2014 :