On some partial orders associated to generic initial ideals

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dc.creatorSnellman, Jan
dc.date1998-11-16
dc.date2000-06-02
dc.date.accessioned2026-07-07T05:26:53Z
dc.date.available2026-07-07T05:26:53Z
dc.descriptionWe 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.
dc.description22 pages, 8 figures, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9811095
dc.identifierhttp://arxiv.org/abs/math/9811095
dc.identifierS{é}minaire Lotharingien de Combinatoire, B43h (2000), 23 pp
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77719
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject06A07, 05A17 (Primary) 13F20 (Secondary)
dc.titleOn some partial orders associated to generic initial ideals
dc.typetext

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