| 具有Clifford断面的纯正半群 |
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| 引用本文： | 李勇华.具有Clifford断面的纯正半群[J].数学杂志,2005,25(6):618-624. |
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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,广东,广州,510631 |
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| 基金项目： | Supported by the National Natural Science Foundation of China （19970128）;Natural Science Foundations of Guangdong Province [（011438 ） （021073）, China （Z02017）]. |
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| 摘 要： | 本文研究有Clifford断面的纯正半群.为了获得主要的结构定理，证明了纯正半群有群断面当且仅当它是矩形群;利用半格和矩形带，建立了有Clifford断面的纯正半群的结构.
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| 关 键 词： | 纯正半群 群断面 Clifford断面 矩形群 |
| 文章编号： | 0255-7797（2005）06-0618-07 |
| 收稿时间： | 2003-06-30 |
| 修稿时间： | 2003-06-302003-12-11 |
ORTHODOX SEMIGROUPS WITH A CLIFFORD TRANSVERSAL |
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| LI Yong-hua.ORTHODOX SEMIGROUPS WITH A CLIFFORD TRANSVERSAL[J].Journal of Mathematics,2005,25(6):618-624. |
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| Authors: | LI Yong-hua |
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| Institution: | Dept. of Math. , South China Normal University, Guangzhou 510631, China |
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| Abstract: | This paper explores the construction of orthodox semigroups with a Clifford transversal. To obtain the main result,it is proved first that an orthodox semigroup has a group transversal if and only if it is a rectangular group. Next,by using a semilattice and rectangular groups, at a construction of orthodox semigroups with a Clifford transversal is built. |
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| Keywords: | orthodox semigroup group transversal Clifford transversal rectangular group |
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