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Combinatorial semigroup theory and its applications

Research Project

Project/Area Number 23540018
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Algebra
Research InstitutionShimane University

Principal Investigator

SHOJI Kunitaka  島根大学, 総合理工学研究科(研究院), 教授 (50093646)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords半群 / 有限表示 / 語の問題 / アルゴリズム / 組合せ半群 / 有限表示半群 / 組合せ半群論 / 組合せ群論
Research Abstract

Our research entitled by "Combinatorial semigroup theory and its applications" financially supported by Grant-in-Aid for Scientific Research has been done from 2012 through 2014. We established 7 items of research bjects in the scientific reserach. Concerned with items (1),(4)and(7), there were unsatisfactory results only. The results on the other items than(1),(4)and(7), were announced at 2012, 2013, 2014 international or domestic conferences and published in the journal "RIMS Kokyuroku", 2013, 2014. We continue three joint research works, with Dr. Renshaw (Univ. of Southampton) on item (2), with Prof. Otto (Univ. of Kassel) on item (3), with Prof. Almeida (Univ. of Porto) on item(5).

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (14 results)

All 2014 2013 2012 2011 Other

All Journal Article (5 results) Presentation (9 results)

  • [Journal Article] Semigroups presented By regular congruence classes2014

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1873 Pages: 12-1

    • Related Report
      2013 Final Research Report
  • [Journal Article] Semigroups presented by congruence classes of regular languages2014

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1873 Pages: 12-16

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Semigroups presented By finite congruence classes2012

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1809 Pages: 169-170

    • Related Report
      2013 Final Research Report
  • [Journal Article] SEMIGROUPS PRESENTED BY FINITE CONGRUENCE CLASSES2012

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      Kaisekikenkokyuroku

      Volume: 1809 Pages: 169-170

    • Related Report
      2012 Research-status Report
  • [Journal Article] Automaticity and presentations of semigroups2011

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1769 Pages: 1-6

    • Related Report
      2013 Final Research Report
  • [Presentation] Finite transformation semigroups and amalgamation bases for finite semigroups2014

    • Author(s)
      庄司 邦孝
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2014-02-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Finite transformation semigroups and amalgamation bases for finite semigroups2014

    • Author(s)
      庄司 邦孝
    • Organizer
      研究集会「計算機科学における論理・代数・言語」
    • Place of Presentation
      京都大学数理解析研究所(京都)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Semigroups presented by congruence classes of regular languages2013

    • Author(s)
      庄司 邦孝
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2013-02-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Semigroups presented by congruence classes of regular languages2013

    • Author(s)
      庄司 邦孝
    • Organizer
      RIMS研究集会「代数とコンピュータサイエンス」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Related Report
      2012 Research-status Report
  • [Presentation] One relator semigroups presented by finite congruence classes2012

    • Author(s)
      Kunitaka Shoji
    • Place of Presentation
      Uppsala Uiversity
    • Year and Date
      2012-09-01
    • Related Report
      2013 Final Research Report
  • [Presentation] Semigroups presented by finite congruence classes2012

    • Author(s)
      庄司 邦孝
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2012-02-22
    • Related Report
      2013 Final Research Report
  • [Presentation] One relator semigroups presented by finite congruence classes2012

    • Author(s)
      Kunitaka Shoji
    • Organizer
      Semigroups and Applications
    • Place of Presentation
      Uppsala University, Uppsala, Sweden
    • Related Report
      2012 Research-status Report
  • [Presentation] Finitely generated semigroups presented by regular congruence classes

    • Author(s)
      庄司 邦孝
    • Organizer
      国際研究集会「Groups and Semigroups:Interactions and Computations」
    • Place of Presentation
      Lisbon University
    • Related Report
      2011 Research-status Report
  • [Presentation] Semigroups presented by finite congruence classes

    • Author(s)
      庄司 邦孝
    • Organizer
      RIMS研究集会「代数系および計算機科学基礎」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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