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dc.date.accessioned2023-01-04T10:00:54Z
dc.date.available2023-01-04T10:00:54Z
dc.date.issued2022-06-25
dc.identifierdoi:10.17170/kobra-202301047293
dc.identifier.urihttp://hdl.handle.net/123456789/14326
dc.description.sponsorshipGefördert im Rahmen des Projekts DEAL
dc.language.isoeng
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectMonomial idealseng
dc.subjectCombinatorial decompositionseng
dc.subjectInvolutive baseseng
dc.subjectQuasi-stable idealseng
dc.subjectPrimary decompositionseng
dc.subject.ddc510
dc.titleComplementary decompositions of monomial ideals and involutive baseseng
dc.typeAufsatz
dcterms.abstractComplementary decompositions of monomial ideals - also known as Stanley decompositions - play an important role in many places in commutative algebra. In this article, we discuss and compare several algorithms for their computation. This includes a classical recursive one, an algorithm already proposed by Janet and a construction proposed by Hironaka in his work on idealistic exponents. We relate Janet’s algorithm to the Janet tree of the Janet basis and extend this idea to Janet-like bases to obtain an optimised algorithm. We show that Hironaka’s construction terminates, if and only if the monomial ideal is quasi-stable. Furthermore, we show that in this case the algorithm of Janet determines the same decomposition more efficiently. Finally, we briefly discuss how these results can be used for the computation of primary and irreducible decompositions.eng
dcterms.accessRightsopen access
dcterms.creatorHashemi, Amir
dcterms.creatorOrth, Matthias
dcterms.creatorSeiler, Werner M.
dc.relation.doidoi:10.1007/s00200-022-00569-0
dc.subject.msc05E40
dc.subject.msc13P10
dc.subject.swdMonomiales Idealger
dc.subject.swdZerlegung <Mathematik>ger
dc.subject.swdKommutative Algebrager
dc.type.versionpublishedVersion
dcterms.source.identifiereissn:1432-0622
dcterms.source.issueissue 6
dcterms.source.journalApplicable Algebra in Engineering, Communication and Computingeng
dcterms.source.pageinfo791-821
dcterms.source.volumeVolume 33
kup.iskupfalse


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