On some partial orders associated to generic initial ideals

Details On some partial orders associated to generic initial ideals On some partial orders associated to generic initial ideals

1998-11-16

arxiv.org/abs/math/9811095v3

S{\'e}minaire Lotharingien de Combinatoire, B43h (2000), 23 pp

Mathematics

Combinatorics

22 pages, 8 figures, LaTeX2e

Scientific paper

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.

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