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Research of Comprehensive Grobner Bases

Research Project

Project/Area Number 17500013
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionTokyo University of Science

Principal Investigator

SATO Yosuke  Tokyo University of Science, Department of Mathematical Information Science, Professor, 理学部第一部, 教授 (50257820)

Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
KeywordsALGORITHM / ALGEBRA / SUMBOLIC COMPUTATION / ブール環 / Stability / グレブナー基底
Research Abstract

We developed our theory and implemented fast Comprehensive Grobner Bases computation algorithm. Our algorithm is so simple that we can implement on many computer algebra systems.

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (7 results)

All 2006 2005

All Journal Article (7 results)

  • [Journal Article] On Algorithms for Calculus of Sets2006

    • Author(s)
      Shutaro Inoue, Yosuke Sato, Akira Suzuki
    • Journal Title

      Proceedings of MACIS 2006

      Pages: 148-153

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] A Simple Algorithm to Compute Comprehensive Grobner Bases Using Grobner Bases2006

    • Author(s)
      Akira Suzuki, Yosuke Sato
    • Journal Title

      Proceedings of ISSAC 2006

      Pages: 326-331

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Discrete Comprehensive Grobner BasesのRisa/Asirによる実装2005

    • Author(s)
      倉田陽介, 佐藤洋祐
    • Journal Title

      数式処理 11・2

      Pages: 43-45

    • NAID

      40007193762

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On stability of Grobner bases2005

    • Author(s)
      Yosuke Sato
    • Journal Title

      数式処理 11・2

      Pages: 47-50

    • NAID

      40007193763

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Stability of Grobner bases and ACGB2005

    • Author(s)
      Yosuke Sato
    • Journal Title

      Proceedings of Algorithmic Algebra and Logic 2005

      Pages: 223-228

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the Construction of Comprehensive Boolean Grobner Bases2005

    • Author(s)
      Yosuke Sato, Syutaro Inoeu
    • Journal Title

      Proceedings of the Seventh Asian Symposium on Computer Mathematics

      Pages: 145-148

    • Related Report
      2005 Annual Research Report
  • [Journal Article] ブール多項式環におけるComprehensiveグレブナー基底について2005

    • Author(s)
      佐藤洋祐
    • Journal Title

      数式処理 12・2

      Pages: 39-42

    • NAID

      10016952949

    • Related Report
      2005 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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