Geodesic
On some Partial Orders Associated to Generic Initial Ideals
Séminaire lotharingien de combinatoire, Tome 43 (1999-2000) 
Jan Snellman. On some Partial Orders Associated to Generic Initial Ideals. Séminaire lotharingien de combinatoire, Tome 43 (1999-2000). http://geodesic.mathdoc.fr/item/SLC_1999-2000_43_a5/
@article{SLC_1999-2000_43_a5,
     author = {Jan Snellman},
     title = {On some {Partial} {Orders} {Associated} to {Generic} {Initial} {Ideals}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1999-2000},
     volume = {43},
     url = {http://geodesic.mathdoc.fr/item/SLC_1999-2000_43_a5/}
}
TY  - JOUR
AU  - Jan Snellman
TI  - On some Partial Orders Associated to Generic Initial Ideals
JO  - Séminaire lotharingien de combinatoire
PY  - 1999-2000
VL  - 43
UR  - http://geodesic.mathdoc.fr/item/SLC_1999-2000_43_a5/
ID  - SLC_1999-2000_43_a5
ER  - 
%0 Journal Article
%A Jan Snellman
%T On some Partial Orders Associated to Generic Initial Ideals
%J Séminaire lotharingien de combinatoire
%D 1999-2000
%V 43
%U http://geodesic.mathdoc.fr/item/SLC_1999-2000_43_a5/
%F SLC_1999-2000_43_a5

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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.