%0 Journal Article
%T On some partial orders associated to generic initial ideals
%A Jan Snellman
%J Mathematics
%D 1998
%I arXiv
%X We study two partial orders on $[x_1,...,x_n]$, the free abelian monoid on ${x_1,...,x_n}$. These partial orders, which we call the ``strongly stable'' and the ``stable'' partial order, are defined by the property that their filters are precisely the strongly stable and the stable monoid ideals. These ideals arise in the study of generic initial ideals.
%U http://arxiv.org/abs/math/9811095v3