| 带正则*-断面的正则半群 |
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| 引用本文： | 王守峰,张笛.带正则*-断面的正则半群[J].数学学报,2011(4). |
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| 作者姓名： | 王守峰 张笛 |
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| 作者单位： | 云南师范大学数学学院;兰州大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金(10871161); 云南省教育厅项目(09Y0141); 云南师范大学博士科研启动项目 |
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| 摘 要： | 本文给出了带正则*-断面的正则半群的若干性质,获得了带拟理想正则*-断面的正则半群的一个构造方法.利用这一构造定理,考虑了这类半群上的同余.
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| 关 键 词： | 正则*-断面 ■R-系 同余 |
Regular Semigroups with Regular *-Transversals |
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| Shou Feng WANG School of Mathematics,Yunnan Normal University,Kunming ,P.R.China Di ZHANG School of Mathematics , Statistics,Lanzhou University,Lanzhou ,P.R.China.Regular Semigroups with Regular *-Transversals[J].Acta Mathematica Sinica,2011(4). |
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| Authors: | Shou Feng WANG School of Mathematics Yunnan Normal University Kunming PRChina Di ZHANG School of Mathematics Statistics Lanzhou University Lanzhou PRChina |
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| Institution: | Shou Feng WANG School of Mathematics,Yunnan Normal University,Kunming 650092,P.R.China Di ZHANG School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,P.R.China |
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| Abstract: | In this paper,some remarkable properties of regular semigroups with a regular *-transversal are given.A construction method of a regular semigroup with a quasi-ideal regular *-transversal is obtained.Furthermore,congruences on this class of semigroups are also considered by applying our structure theorem. |
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| Keywords: | regular *-transversal ■R-system congruence |
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