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

 

Stanley's theorem on codimension 3 Gorenstein $h$-vectors


Author: Fabrizio Zanello
Journal: Proc. Amer. Math. Soc. 134 (2006), 5-8
MSC (2000): Primary 13E10; Secondary 13H10
Published electronically: August 11, 2005
MathSciNet review: 2170536
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Abstract: In this note we supply an elementary proof of the following well-known theorem of R. Stanley: the $h$-vectors of Gorenstein algebras of codimension 3 are SI-sequences, i.e. are symmetric and the first difference of their first half is an $O$-sequence.


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Additional Information

Fabrizio Zanello
Affiliation: Dipartimento di Matematica, Università di Genova, Genova, Italy
Email: zanello@dima.unige.it

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08276-6
PII: S 0002-9939(05)08276-6
Keywords: Artinian algebra, Gorenstein algebra, $h$-vector, SI-sequence
Received by editor(s): June 19, 2004
Published electronically: August 11, 2005
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.