A class of Hilbert series and the strong Lefschetz property
Author:
Melissa Lindsey
Journal:
Proc. Amer. Math. Soc. 139 (2011), 7992
MSC (2010):
Primary 13A02; Secondary 13C05
Published electronically:
July 1, 2010
MathSciNet review:
2729072
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Abstract: We determine the class of Hilbert series so that if is a finitely generated zerodimensional graded module with the strong Lefschetz property, then has the strong Lefschetz property for an indeterminate and all positive integers if and only if the Hilbert series of is in . Given two finite graded modules and with the strong Lefschetz property, we determine sufficient conditions in order that has the strong Lefschetz property.
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Additional Information
Melissa Lindsey
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 479072067
Email:
lindsey9@math.purdue.edu
DOI:
http://dx.doi.org/10.1090/S000299392010104987
Keywords:
Hilbert series,
strong Lefschetz property
Received by editor(s):
September 11, 2009
Received by editor(s) in revised form:
March 11, 2010
Published electronically:
July 1, 2010
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
