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具有拟理想正则*-断面的正则半群
引用本文:李勇华.具有拟理想正则*-断面的正则半群[J].数学进展,2003,32(6):727-738.
作者姓名:李勇华
作者单位:华南师范大学数学系,广州,广东,510631,中国
基金项目:Research is supported by National Science Foundation (19970128) of China,Natural Science Foundations[(011438)(021073),(Z02017)]Guangdong Province,China.The author would like to express his appreciation to Professor Y.Q.Guo for his help
摘    要:本文提出了具有正则*-断面正则半群的概念,所给出的例子表明具有拟理想正则*-断面的正则半群类真包含了具有拟理想逆断面的正则半群类和正则*-半群类;最后刻画了具有拟理想正则*-断面的正则半群的结构.

关 键 词:拟理想正则*-断面  正则半群  正则*-半群  QT-半群

On Regular Semigroups With a Quasi-ideal Regular *-transversal
LI Yong-hua.On Regular Semigroups With a Quasi-ideal Regular *-transversal[J].Advances in Mathematics,2003,32(6):727-738.
Authors:LI Yong-hua
Abstract:In this paper a new concept of regular *-transversal in a regular semigroup is introduced. An example is given to show that it is different from that of orthodox transversal and that the class of regular semigroups with a quasi-ideal regular *-transversal is a proper generalization of both of the class of regular semigroups with a quasi-ideal inverse transversal and the class of regular *-semigroups. Finally, a construction of regular semigroups with a quasi-ideal regular *-transversal is described.
Keywords:regular semigroup  regular *-transversal  regular *-semigroup  QT-semigroup
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