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On Gröbner bases over rings and residue class polynomial rings with torsion

Published:14 August 2015Publication History

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References

  1. B. Buchberger. An Algorithm for Finding a Basis for the Residue Class Ring of a Zero-Dimensional Polynomial Ideal (in German). Ph.D. thesis, University of Innsbruck, Austria. (reprinted in Buchberger (2006)).Google ScholarGoogle Scholar
  2. B. Buchberger. Bruno Buchberger's phd thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Journal of Symbolic Computation 41, 475--51, 2006. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. A. Dukkipati, N. Pai, M. Francis & A. Dubey. Macaulay-Buchberger basis theorem for residue class rings with torsion and border bases over rings Preprint, available at http://arxiv.org/abs/1405.0472, 2014.Google ScholarGoogle Scholar
  4. A. Dukkipati & M. Francis. On reduced Gröbner bases and Macaulay-Buchberger basis theorem over noetherian rings. Journal of Symbolic Computation 65, 1--14, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  5. F. S. Macaulay. The Algebraic Theory of Modular Systems. The Cornell Library of Historical Mathematical Monographs. Cambridge University Press, 1916.Google ScholarGoogle Scholar

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  1. On Gröbner bases over rings and residue class polynomial rings with torsion
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    • Published in

      cover image ACM Communications in Computer Algebra
      ACM Communications in Computer Algebra  Volume 49, Issue 2
      June 2015
      66 pages
      ISSN:1932-2240
      DOI:10.1145/2815111
      Issue’s Table of Contents

      Copyright © 2015 Authors

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 14 August 2015

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