Lexsegment and Gotzmann ideals associated with the diagonal action of Z/p

dc.citation.epage209en_US
dc.citation.issueNumber2en_US
dc.citation.spage197en_US
dc.citation.volumeNumber163en_US
dc.contributor.authorSezer, M.en_US
dc.date.accessioned2015-07-28T11:59:55Z
dc.date.available2015-07-28T11:59:55Z
dc.date.issued2011en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We give a description of the actions for which the corresponding Hilbert ideal is Gotzmann when n = 2. Nevertheless, we show that there is a separating set of invariant monomials that generates a proper lexsegment ideal in the polynomial ring for all n. As well, we provide an algorithm to compute this set. © 2009 Springer-Verlag.en_US
dc.identifier.doi10.1007/s00605-009-0182-3en_US
dc.identifier.eissn1436-5081
dc.identifier.issn0026-9255
dc.identifier.urihttp://hdl.handle.net/11693/12070
dc.language.isoEnglishen_US
dc.publisherSpringer Wienen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00605-009-0182-3en_US
dc.source.titleMonatshefte für Mathematiken_US
dc.subjectGotzmann idealsen_US
dc.subjectLexsegment idealsen_US
dc.subjectSeparating invariantsen_US
dc.titleLexsegment and Gotzmann ideals associated with the diagonal action of Z/pen_US
dc.typeArticleen_US

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