Antichains of Monomial Ideals are Finite

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dc.creatorMaclagan, Diane
dc.date1999-09-28
dc.date.accessioned2026-07-07T05:30:56Z
dc.date.available2026-07-07T05:30:56Z
dc.descriptionThe main result of this paper is that all antichains are finite in the poset of monomial ideals in a polynomial ring, ordered by inclusion. We present several corollaries of this result, both simpler proofs of results already in the literature and new results. One natural generalization to more abstract posets is shown to be false.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/9909168
dc.identifierhttp://arxiv.org/abs/math/9909168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79162
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject13P10 (Primary) 06A06, 52B20 (Secondary)
dc.titleAntichains of Monomial Ideals are Finite
dc.typetext

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