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Clifford半群上Rees矩阵半群的正规加密群结构 被引量:2

A construction of regular cryptogroup for a Rees matrix semigroup over a Clifford semigroup
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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.
出处 《江苏师范大学学报(自然科学版)》 CAS 2012年第2期1-3,共3页 Journal of Jiangsu Normal University:Natural Science Edition
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)
关键词 REES矩阵半群 CLIFFORD半群 正规加密群 Rees matrix semigroup Clifford semigroup regular cryptogroup
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参考文献4

  • 1Howie J M. An introduction to semigroup theory[M].London:Acad Press,1976.
  • 2Song Guangtian,Liu Guoxin,Zhang Jiangang. A construction of regular cryptogroups[J].Semigroup Forum,2004,(03):409.
  • 3Song Guangtian,Liu Guoxin,Zhang Jiangang. A construction of cryptogroups[J].Acta Math Sinica:EnglSer,2007,(05):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(中文版),2011,54(2):195-210. 被引量:4

二级参考文献9

  • 1Lallement G., Petrich M., A generation of the Rees theorem in semigroups, Acta Sci. Math. Szeged, 1969, 30: 113-132.
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