호남수학학술지 (Honam Mathematical Journal)

  • 제21권1호
  • /
  • Pages.19-33
  • /
  • 1999
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

A NOTE ON GRÖBNER FANS OF IDEALS

  • KIM, YONGGU (Dept. of Mathematics Education, Chonnam National University)
  • 투고 : 1999.07.03
  • 발행 : 1999.07.30
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초록

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.

키워드

과제정보

연구 과제 주관 기관 : Chonnam Na­tional University

참고문헌

  1. J. Symbolic Computation v.6 Standard Bases and Geometric Invariant Theory; l. Initial Ideals and State Polytopes Bayer, D.;Morrison, I.
  2. Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra Second Edition. Undergraduate Texts in Mathematics Cox, D.;Little, J.;O'Shea, D.
  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.