Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON GRÖBNER FANS OF IDEALS

  • KIM, YONGGU (Dept. of Mathematics Education, Chonnam National University)
  • Received : 1999.07.03
  • Published : 1999.07.30
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Abstract

In this paper we reproduce results on $Gr{\ddot{o}}bner$ fans of ideals following a paper by T. Mora and L. Robbiano [5], and introduce stable $Gr{\ddot{o}}bner$ fans of ideals introduced by D. Mall [4]. We make minor corrections for the clarification, simplify proofs and provide new proofs. At the end we give a description of $Gr{\ddot{o}}bner$ fans of toric ideals.

Keywords

Acknowledgement

Supported by : Chonnam Na­tional University

References

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  3. Computing Grabner Fans of Toric Ideals. Manuscript Huber, B.;Thomas, R.
  4. Progress in Computer Science and Applied Logic v.15 Grobner Fans and Projective Schemes Mall, D.
  5. J. Symbolic Computation v.6 he Grabner Fan of an Ideal Mora,T.;Robbiano, L.
  6. Proc. EUROCAL 85, Lect. Notes in Computer Science Vol. 204 Term Orderings on the Polynomial Ring Robbiano, L.
  7. Grobner Bases and Convex Polytopes. University Lecture Series Vol.8 Sturmfels, B.