(Computer Algebra --Theory and its Applications)

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  • DAHAN, XAVIER
    GRADUATE SCHOOL OF GENERAL EDUCATIONAL RESEARCH, OCHANOMIZU UNIVERSITY

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Other Title
  • 三角形である準素成分を持つ辞書式順序グレブナー基底について (Computer Algebra --Theory and its Applications)
  • 三角形である準素成分を持つ辞書式順序グレブナー基底について
  • サンカクケイ デ アル ジュンソ セイブン オ モツ ジショシキ ジュンジョ グレブナー キテイ ニ ツイテ

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Description

Let g be a minimal lexicographic Griibner basis (lexGb) of a zero-dimensional I. Assume that all the primary components of I have a lexGb that is a triangular set. This note explains that the strong properties known about g when I is a radical ideal, also hold in this case. These properties are: (1) a reconstruction of the basis g from that of the primary components by a generalization of the Chinese Reminder Theorem, (2) the factorization pattern of the polynomials in g and (3) the stability property under specialization maps.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2138 30-33, 2019-12

    京都大学数理解析研究所

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