A class of Hilbert series and the strong Lefschetz property

Author:
Melissa Lindsey

Journal:
Proc. Amer. Math. Soc. **139** (2011), 79-92

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 zero-dimensional -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 47907-2067

Email:
lindsey9@math.purdue.edu

DOI:
https://doi.org/10.1090/S0002-9939-2010-10498-7

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.