A New Algorithm for Primary Decomposition Using Double Ideal Quotient (Computer Algebra --Theory and its Applications)

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  • 二重イデアル商を用いた新しい準素分解のアルゴリズム (Computer Algebra --Theory and its Applications)
  • 二重イデアル商を用いた新しい準素分解のアルゴリズム
  • ニジュウ イデアルショウ オ モチイタ アタラシイ ジュンソ ブンカイ ノ アルゴリズム

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Primary decomposition in a polynomial ring is a basis tool of Commutative Algebra and Algebraic Geometry. Algorithms for primary decomposition have been much studied, however, they still tend to be much time-consuming. In the paper, we introduce a new view of Shimoyama-Yokoyama algorithm [3] from "Double Ideal Quotient". Moreover, we propose a new method for primary decomposition using double ideal quotient instead of a system of separators.

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  • RIMS Kokyuroku

    RIMS Kokyuroku 2138 34-38, 2019-12

    京都大学数理解析研究所

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