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2013 Fiscal Year Final Research Report

Combinatorial semigroup theory and its applications

Research Project

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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
Keywords半群 / 有限表示 / 語の問題 / アルゴリズム
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).

  • Research Products

    (7 results)

All 2014 2013 2012 2011

All Journal Article (3 results) Presentation (4 results)

  • [Journal Article] Semigroups presented By regular congruence classes2014

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1873 Pages: 12-1

  • [Journal Article] Semigroups presented By finite congruence classes2012

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1809 Pages: 169-170

  • [Journal Article] Automaticity and presentations of semigroups2011

    • Author(s)
      Kunitaka Shoji
    • Journal Title

      RIMS Kokyuroku

      Volume: No.1769 Pages: 1-6

  • [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
  • [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
  • [Presentation] One relator semigroups presented by finite congruence classes2012

    • Author(s)
      Kunitaka Shoji
    • Place of Presentation
      Uppsala Uiversity
    • Year and Date
      2012-09-01
  • [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

URL: 

Published: 2015-07-16  

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