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Flat Modules and Gröbner Bases over Truncated Discrete Valuation Rings

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  • معلومة اضافية
    • بيانات النشر:
      Graduate School of Information Sciences, Tohoku University, 2010.
    • الموضوع:
      2010
    • نبذة مختصرة :
      We present basic properties of Grobner bases of submodules of a free module of finite rank over a polynomial ring R with coefficients in a graded truncated discrete valuations ring A. As an application, we give a criterion for a finitely generated R-module to be flat over A. Its non-graded version is also given.
    • ISSN:
      1347-6157
      1340-9050
    • الرقم المعرف:
      10.4036/iis.2010.33
    • Rights:
      OPEN
    • الرقم المعرف:
      edsair.doi...........703a69af5d91a967c96a9657537a10bb