Stanley's theorem on codimension 3 Gorenstein vectors
Author:
Fabrizio Zanello
Journal:
Proc. Amer. Math. Soc. 134 (2006), 58
MSC (2000):
Primary 13E10; Secondary 13H10
Published electronically:
August 11, 2005
MathSciNet review:
2170536
Fulltext PDF Free Access
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Abstract: In this note we supply an elementary proof of the following wellknown theorem of R. Stanley: the vectors of Gorenstein algebras of codimension 3 are SIsequences, i.e. are symmetric and the first difference of their first half is an 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/S0002993905082766
PII:
S 00029939(05)082766
Keywords:
Artinian algebra,
Gorenstein algebra,
$h$vector,
SIsequence
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.
