Clifford半群上Rees矩阵半群的正规加密群结构

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英文篇名：A construction of regular cryptogroup for a Rees matrix semigroup over a Clifford semigroup 作者：黎宏伟 ; 李映辉 英文作者：Li Hongwei1,Li Yinghui2(1.Department of Teachers Education,Suqian College,Suqian 223800,Jiangsu,China; 2.Department of Mathematics,Kunming University,Kunming 650214,Yunnan,China) 关键词：Rees矩阵半群 ; Clifford半群 ; 正规加密群 英文关键词：Rees matrix semigroup;Clifford semigroup;regular cryptogroup 中文刊名：XZSX 英文刊名：Journal of Jiangsu Normal University(Natural Science Edition) 机构：宿迁学院教师教育系;昆明学院数学系; 出版日期：2012-06-15 出版单位：江苏师范大学学报(自然科学版) 年：2012 期：v.30;No.100 基金：云南省教育厅自然科学基金资助项目(2011C104);; 宿迁学院自然科学基金资助项目(2011KY11) 语种：中文; 页：XZSX201202002 页数：3 CN：02 ISSN：32-1834/N 分类号：5-7

摘要

参照含幺Clifford半群上Rees矩阵半群的定义方式,给出Clifford半群上Rees矩阵半群的定义,证明了Clifford半群上的Rees矩阵半群是正规加密群,最后给出了Clifford半群上Rees矩阵半群S的正规加密群结构.
        According to the definition of the Rees matrix semigroup over a Clifford semigroup with identity,the Rees matrix semigroup over a Clifford semigroup is definited.It is proved that the Rees matrix semigroup over a Clifford semigroup is a regular cryptogroup.At last,the construction of regular cryptogroup for a Rees matrix semigroup over a Clifford semigroup is investigated.

引文

[1]Howie J M.An introduction to semigroup theory[M].London:Acad Press,1976.
    [2]Song Guangtian,Liu Guoxin,Zhang Jiangang.A con-struction of regular cryptogroups[J].Semigroup Fo-rum,2004,69(3):409.
    [3]Song Guangtian,Liu Guoxin,Zhang Jiangang.A con-struction of cryptogroups[J].Acta Math Sinica:EnglSer,2007,23(5):789.
    [4]黎宏伟.含幺Clifford半群上的Rees矩阵半群的同余和正规加密群结构[J].数学学报,2011,54(2):195.