4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones

buir.contributor.authorŞahin, Nil
dc.citation.epage2184en_US
dc.citation.issueNumber6en_US
dc.citation.spage2174en_US
dc.citation.volumeNumber44en_US
dc.contributor.authorŞahin, Nil
dc.date.accessioned2021-03-04T08:00:58Z
dc.date.available2021-03-04T08:00:58Z
dc.date.issued2020
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractIn this article, standard bases of some toric ideals associated to 4-generated pseudo symmetric semigroups with not Cohen-Macaulay tangent cones at the origin are computed. As the tangent cones are not Cohen-Macaulay, nondecreasingness of the Hilbert function of the local ring was not guaranteed. Therefore, using these standard bases, Hilbert functions are explicitly computed as a step towards the characterization of Hilbert function. In addition, when the smallest integer satisfying k(α2 + 1) < (k − 1)α1 + (k + 1)α21 + α3 is 1, it is proved that the Hilbert function of the local ring is nondecreasing.en_US
dc.identifier.doi10.3906/mat-1910-92en_US
dc.identifier.issn1300-0098
dc.identifier.urihttp://hdl.handle.net/11693/75763
dc.language.isoEnglishen_US
dc.publisherTUBITAKen_US
dc.relation.isversionofhttps://dx.doi.org/10.3906/mat-1910-92en_US
dc.source.titleTurkish Journal of Mathematicsen_US
dc.subjectHilbert functionen_US
dc.subjectTangent coneen_US
dc.subjectMonomial curveen_US
dc.subjectNumerical semigroupen_US
dc.subjectStandard basesen_US
dc.title4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent conesen_US
dc.typeArticleen_US
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