On some Partial Orders Associated to Generic Initial Ideals
Séminaire lotharingien de combinatoire, Tome 43 (1999-2000)

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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.

@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},
     publisher = {mathdoc},
     volume = {43},
     year = {1999-2000},
     url = {http://geodesic.mathdoc.fr/item/SLC_1999-2000_43_a5/}
}
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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/