Gotzmann monomial ideals

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dc.creatorMurai, Satoshi
dc.date2005-04-26
dc.date.accessioned2026-07-07T09:31:37Z
dc.date.available2026-07-07T09:31:37Z
dc.descriptionA Gotzmann monomial ideal of the polynomial ring is a monomial ideal which is generated in one degree and which satisfies Gotzmann's persistence theorem. A subset $V$ is said to be a Gotzmann subset if the ideal generated by $V$ is a Gotzmann monomial ideal. In the present paper, we find all integers $a>0$ such that every Gotzmann subset $V$ with $|V|=a$ is lexsegment (up to the permutation of the variables). In addition, we classify all Gotzmann subsets of $K[x_1,x_2,x_3]$.
dc.identifierhttps://arxiv.org/abs/math/0504528
dc.identifierhttp://arxiv.org/abs/math/0504528
dc.identifierIllinois J. Math. 51 (2007), 843--852
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158524
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05A05; 13F20
dc.titleGotzmann monomial ideals
dc.typetext

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