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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Matlis duals of top Local cohomology modules


Authors: Michael Hellus and Jürgen Stückrad
Journal: Proc. Amer. Math. Soc. 136 (2008), 489-498
MSC (2000): Primary 13D45, 13C05
Published electronically: November 1, 2007
MathSciNet review: 2358488
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Abstract: In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of $ {H}^{d-1}_J(R)$, where $ R$ is a $ d$-dimensional local ring and $ J\subseteq R$ an ideal such that $ \dim (R/J)=1$ and $ {H}^d_J(R)=0$.


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Additional Information

Michael Hellus
Affiliation: Department of Mathematics, University of Leipzig, D-04109 Leipzig, Germany
Email: michael.hellus@math.uni-leipzig.de

Jürgen Stückrad
Affiliation: Department of Mathematics, University of Leipzig, D-04109 Leipzig, Germany
Email: juergen.stueckrad@math.uni-leipzig.de

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09157-5
PII: S 0002-9939(07)09157-5
Keywords: Local cohomology, Matlis duality, associated prime ideals.
Received by editor(s): April 5, 2006
Received by editor(s) in revised form: January 19, 2007
Published electronically: November 1, 2007
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.