Séminaire Lotharingien de Combinatoire, B43h (2000), 23 pp.
On some Partial Orders Associated to Generic Initial Ideals
We study two partial orders on the free abelian monoid on a
(finite or countable) set of indeterminates. 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.
Received: April 26, 1999; Revised: October 28, 1999; Accepted: March 3, 2000.
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