| 具有正则*-断面的正则半群的结构 |
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| 引用本文： | 李勇华.具有正则*-断面的正则半群的结构[J].数学进展,2006,35(5):607-614. |
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| 作者姓名： | 李勇华 |
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| 作者单位： | 华南师范大学数学系,广州,广东,510631 |
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| 基金项目： | Research is supported by National Natural Science Foundation (No.19970128) of China
Natural Science Foundations of Guangdong Province China(No.011438,021073,Z02017). |
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| 摘 要： | 设S是一个正则半群,如果存在一个S的子半群S~*及上的一元运算*满足条件：(1)(?)x∈S,x~*∈S~*∩V(x)；(2)(?)x∈S~*,(x~*)~*=x；(3)(?)x,y∈S,(x~*y)~*=y~*x~(**),(xy~*)~*=y~(xx)x~*则称S~*是S的一个正则*_-断面．本文刻画了具有正则*_-断面的正则半群的结构。
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| 关 键 词： | 正则半群 正则 半群 正则断面 |
| 文章编号： | 1000-0917（2006）05-0607-08 |
| 收稿时间： | 2004-08-06 |
| 修稿时间： | 2004-12-21 |
A Structure of Regular Semigroups With a Regular *-transversal |
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| LI Yong-hua.A Structure of Regular Semigroups With a Regular *-transversal[J].Advances in Mathematics,2006,35(5):607-614. |
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| Authors: | LI Yong-hua |
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| Institution: | Department of Mathematics, South China Normal University, Guangzhou, Guangdong, 510631, P. R. China |
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| Abstract: | Let S be a regular semigroup. If there are a subsemigroup S* of S and aunary operation * in S satisfying: (1) x* ∈ S* ∩ V(x) for any x ∈ S; (2) (x*)* = x for any x ∈ S*; (3) (x*y)* = y*x** and (xy*)* = y**x* for any x,y ∈ S, then we say that S* is a regular *-transversal of S. In this paper we describe a general structure of regular semigroups with a regular *- transversal. |
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| Keywords: | regular semigroup regular *-semigroup regular *-transversal |
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