| 完全单半群及完全正则半群的逆断面 |
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| 引用本文： | 朱凤林,刘卫江.完全单半群及完全正则半群的逆断面[J].数学研究,2000,33(1):109-112. |
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| 作者姓名： | 朱凤林 刘卫江 |
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| 作者单位： | 辽宁锦州师范学院信息技术系锦州12l003 |
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| 摘 要： | 指出完全单半群Ｓ的任何一个Ｆ－类是逆断面，且为Ｑ－逆断面，而Ｓ的任何一个逆断面必是一个Ｆ－类，因而所有逆断面同构。并且给出完全正则半群的逆断面存在的充要条件。
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| 关 键 词： | 逆断面 完全单半群 完全正则半群 |
| 修稿时间： | 1999年1月20日 |
Inverse Transversals in Completely Simple Semigroups and Completely Regular Semigroups |
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| Zhu Fenglin,Liu Weijiang.Inverse Transversals in Completely Simple Semigroups and Completely Regular Semigroups[J].Journal of Mathematical Study,2000,33(1):109-112. |
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| Authors: | Zhu Fenglin Liu Weijiang |
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| Abstract: | In this article we prove that every H class in a completely simple semigroup S is an inverse transversal of S, and further more it, is a Q inverse transversal. Conversely, every inverse transversal of S is a H class. Thus all inverse transversals of S are isomorphic. We also give a necessary and sufficient conditions for the existence of an inverse transversal in a completely regular semigroup. |
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| Keywords: | Inverse transversal Completely simple semigroup Completely regular semigroup |
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