On Localization by maximal Independent Set (Computer Algebra : Foundations and Applications)

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Other Title
  • 極大独立集合による局所化について
  • キョクダイ ドクリツ シュウゴウ ニ ヨル キョクショカ ニ ツイテ

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Abstract

Localization is one of the fund fundamental tools in commutative algebra. In particular, in polynomial rings, localization by Maximal Independent Set is one of the most frequently used methods in Computer Algebra. By using maximal independent set, we can attribute the discussion of high-dimensional ideals to the discussion of 0-dimensional ideals. In this paper, localization by maximal independent set is discussed in comparison with localization by regular sequence.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2224 10-19, 2022-06

    京都大学数理解析研究所

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