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Communications in Algebra Volume 33, 2005 - Issue 11
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Original Articles

On the Associated Primes of Matlis Duals of Top Local Cohomology Modules

M. Hellus Fakultät für Mathematik und Informatik, Mathematisches Institut, Universität Leipzig, Leipzig, GermanyCorrespondence[email protected]
Pages 3997-4009 | Received 15 May 2004, Published online: 01 Feb 2007
 
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Abstract

After motivating the question, we prove various results about the set of associated primes of Matlis duals of top local cohomology modules. In some cases, we can calculate this set. An easy application of this theory is the well-known fact that Krull dimension can be expressed by the vanishing of local cohomology modules.

Mathematics Subject Classification:

Notes

Communicated by W. Bruns.

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