• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

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

      Thumbnail
      View / Download
      145.7 Kb
      Author(s)
      Şahin, Nil
      Date
      2020
      Source Title
      Turkish Journal of Mathematics
      Print ISSN
      1300-0098
      Publisher
      TUBITAK
      Volume
      44
      Issue
      6
      Pages
      2174 - 2184
      Language
      English
      Type
      Article
      Item Usage Stats
      60
      views
      28
      downloads
      Abstract
      In 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.
      Keywords
      Hilbert function
      Tangent cone
      Monomial curve
      Numerical semigroup
      Standard bases
      Permalink
      http://hdl.handle.net/11693/75763
      Published Version (Please cite this version)
      https://dx.doi.org/10.3906/mat-1910-92
      Collections
      • Department of Industrial Engineering 733
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 2976
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy