Stanley depth of complete intersection monomial ideals and upper-discrete partitions

dc.creatorShen, YiHuang
dc.date2008-05-29
dc.date2008-12-21
dc.date.accessioned2026-07-07T12:20:44Z
dc.date.available2026-07-07T12:20:44Z
dc.descriptionLet $I$ be an $m$-generated complete intersection monomial ideal in $S=K[x_1,...,x_n]$. We show that the Stanley depth of $I$ is $n-\floor{\frac{m}{2}}$. We also study the upper-discrete structure for monomial ideals and prove that if $I$ is a squarefree monomial ideal minimally generated by 3 elements, then the Stanley depth of $I$ is $n-1$.
dc.descriptionUpdated version. 9 pages. To appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/0805.4461
dc.identifierhttp://arxiv.org/abs/0805.4461
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213152
dc.subjectCommutative Algebra
dc.subjectPrimary 13C13, Secondary 05E99, 06A07
dc.titleStanley depth of complete intersection monomial ideals and upper-discrete partitions
dc.typetext

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