%0 Journal Article
%T A Class of Hilbert Series and the Strong Lefschetz Property
%A Melissa Lindsey
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0909.0244v2