2013 Fiscal Year Final Research Report

Combinatorial semigroup theory and its applications

Research Project

Project/Area Number	23540018
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Algebra
Research Institution	Shimane 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).

(7 results)