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完全0-单半群的同态像
引用本文:张润石,江治杰.完全0-单半群的同态像[J].四川理工学院学报(自然科学版),2007,20(4):54-59.
作者姓名:张润石  江治杰
作者单位:四川理工学院数学系,四川,自贡,643000
摘    要:文章对有正规Rees矩阵表示的完全0-单半群上的真同余给出了一个新刻画,证明了完全0-单半群的任一真同态像仍为完全0-单半群,并且利用Rees矩阵给出了完全0-单半群的真同态像的结构。

关 键 词:完全0-单半群  同态像  Rees矩阵
文章编号:1673-1549(2007)04-00054-06
收稿时间:2006-10-18
修稿时间:2006-10-18

Proper Homomorphic Image Of Completely 0-simple Semigroups
ZHANG Run-shi,JIANG Zhi-jie.Proper Homomorphic Image Of Completely 0-simple Semigroups[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2007,20(4):54-59.
Authors:ZHANG Run-shi  JIANG Zhi-jie
Abstract:Abtract: This paper first gives a new characterization of proper congruences on a completely 0-simple semigroup with normal Rees matrix representation S = M0 G;I,Λ;P].Then it proves that any proper homomorphic image of a completely 0-simple semigroup is also completely 0-simple and gives their Rees matrix constructions.
Keywords:completely 0-simple semigroups  proper homomorphic image  Rees matrix
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