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Stanley's theorem on codimension 3 Gorenstein  -vectors
Author:
Fabrizio Zanello
Journal:
Proc. Amer. Math. Soc. 134 (2006), 5-8
MSC (2000):
Primary 13E10; Secondary 13H10
Posted:
August 11, 2005
MathSciNet review:
2170536
Full-text PDF Free Access
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Abstract: In this note we supply an elementary proof of the following well-known theorem of R. Stanley: the  -vectors of Gorenstein algebras of codimension 3 are SI-sequences, i.e. are symmetric and the first difference of their first half is an  -sequence.
References
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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
Posted:
August 11, 2005
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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