Orderings of Monomial Ideals

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dc.creatorAschenbrenner, Matthias
dc.creatorPong, Wai-Yan
dc.date2003-05-27
dc.date.accessioned2026-07-07T04:58:19Z
dc.date.available2026-07-07T04:58:19Z
dc.descriptionWe study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set. In particular, we give an interpretation of the height function in terms of the Hilbert-Samuel polynomial, and we compute upper and lower bounds on the maximal order type.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0305384
dc.identifierhttp://arxiv.org/abs/math/0305384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67587
dc.subjectLogic
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject03E04; 06A07; 13D40
dc.titleOrderings of Monomial Ideals
dc.typetext

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