A Class of Hilbert Series and the Strong Lefschetz Property
Commutative Algebra
2010-03-19 v2
Abstract
We determine the class of Hilbert series H so that if M is a finitely generated zero-dimensional R-graded module with the strong Lefschetz property, then the tensor product of M and k[y]/(y^m) has the strong Lefschetz property for y an indeterminate and all positive integers m if and only if the Hilbert series of M is in H. Given two finite graded R-modules M and N with the strong Lefschetz property, we determine sufficient conditions in order that the tensor product of M and N has the strong Lefschetz property.
Cite
@article{arxiv.0909.0244,
title = {A Class of Hilbert Series and the Strong Lefschetz Property},
author = {Melissa Lindsey},
journal= {arXiv preprint arXiv:0909.0244},
year = {2010}
}
Comments
13 pages, minor changes made, section 5 added, references added