| 具有逆断面的纯正半群 |
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| 引用本文： | 朱凤林,刘泮振.具有逆断面的纯正半群[J].信阳师范学院学报(自然科学版),2006,19(2):130-131,143. |
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| 作者姓名： | 朱凤林 刘泮振 |
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| 作者单位： | 1. 上海电力学院,数理系,上海,200090
2. 河南财经学院,河南,郑州,450002 |
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| 基金项目： | 上海市教委自然科学基金资助项目(04LB15) |
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| 摘 要： | 逆半群和具有逆断面的基础纯正半群的结构是比较简单的.用它们构造出了代数结构比较清晰的具有逆断面的纯正半群,同时证明了每个具有逆断面的纯正半群都可以如此构造.
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| 关 键 词： | 纯正半群 逆断面 基础半群 |
| 文章编号： | 1003-0972（2006）02-0130-02 |
| 收稿时间： | 2005-04-01 |
| 修稿时间： | 2005-04-012006-01-13 |
Orthodox Semigroups with Inverse Transversals |
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| ZHU Feng-lin,LIU Pan-zhen.Orthodox Semigroups with Inverse Transversals[J].Journal of Xinyang Teachers College(Natural Science Edition),2006,19(2):130-131,143. |
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| Authors: | ZHU Feng-lin LIU Pan-zhen |
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| Institution: | 1. Department of Mathematics and Physics,Shanghai University of Electric Power, Shanghai 200090, China; 2. Henan University of Finance and Economics,Zhengzhou 450002, China |
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| Abstract: | The constructions of inverse semigroups and fundamental orthodox semigroups with inverse transversals are simple.An orthodox semigroup with inverse transversals having a clear algebraic constrction is constructed by using an inverse semigroup and a fundamental orthodox semigroup with an inverse transversal.In the meantime,it is proved that each orthodox semigroup with an inverse transversal can be constructed in this way. |
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| Keywords: | orthodox semigroup inverse transversal fundamental semigroup |
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