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具有乘积纯正断面的正则半群
引用本文:郭晓永,费秀海.具有乘积纯正断面的正则半群[J].南京师大学报,2011(2):23-26.
作者姓名:郭晓永  费秀海
作者单位:临沧师范高等专科学校数理系;
摘    要:介绍了乘积纯正断面的概念,研究了乘积纯正断面的一些性质以及乘积纯正断面的两个等价条件,并给出具有乘积纯正断面的正则半群的结构定理.

关 键 词:正则半群  逆断面  纯正断面  拟理想

Regular Semigroups With Multiplicative Orthodox Transversals
Guo Xiaoyong,Fei Xiuhai.Regular Semigroups With Multiplicative Orthodox Transversals[J].Journal of Nanjing Normal University(Natural Science Edition),2011(2):23-26.
Authors:Guo Xiaoyong  Fei Xiuhai
Institution:Guo Xiaoyong,Fei Xiuhai(Department of Mathematics and Science,Lincang Teachers' College,Lincang 677000,China)
Abstract:In this paper,the concept of multiplicative orthodox transversal is introduced.We investigate some properties on multiplicative orthodox transversal,and give two equivalent conditions for orthodox transversal are multiplicative.Finally,we give a structure theorem for regular semigroups with multiplicative orthodox transversals.
Keywords:regular semigroups  inverse transversal  orthodox transversals  quasi-ideal  
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