An algorithm for computing generalized integral dependence relations in a ring of convergent power series (Computer Algebra : Theory and its Applications)

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Other Title
  • 収束冪級数環におけるgeneralized integral dependence relationの計算について (Computer Algebra : Theory and its Applications)
  • 収束冪級数環におけるgeneralized integral dependence relationの計算について
  • シュウソクベキキュウスウカン ニ オケル generalized integral dependence relation ノ ケイサン ニ ツイテ

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Description

An algorithm for computing generalized integral dependence relations, in a ring of convergent power series, is introduced. It is shown that generalized integral dependence relations, in a ring of convergent powcr series, can be obtained in a polynomial ring. The key idea of the proposed algorithm is computing ideal quotients in a polynomial ring.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2104 78-85, 2019-02

    京都大学数理解析研究所

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