How to compute the Stanley depth of a monomial ideal

Simple item page
dc.creatorHerzog, Jürgen
dc.creatorVladoiu, Marius
dc.creatorZheng, Xinxian
dc.date2007-12-14
dc.date.accessioned2026-07-07T08:49:16Z
dc.date.available2026-07-07T08:49:16Z
dc.descriptionLet $J\subset I$ be monomial ideals. We show that the Stanley depth of $I/J$ can be computed in a finite number of steps. We also introduce the $\fdepth$ of a monomial ideal which is defined in terms of prime filtrations and show that it can also be computed in a finite number of steps. In both cases it is shown that these invariants can be determined by considering partitions of suitable finite posets into intervals.
dc.identifierhttps://arxiv.org/abs/0712.2308
dc.identifierhttp://arxiv.org/abs/0712.2308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144240
dc.subjectCommutative Algebra
dc.subject13C13, 13C14, 05E99, 16W70
dc.titleHow to compute the Stanley depth of a monomial ideal
dc.typetext

Files

Collections

arXiv