| 从无限可数集到有限集的保序映射 |
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| 引用本文： | 邓伦治,李湘.从无限可数集到有限集的保序映射[J].贵州教育学院学报,2008,19(3):4-6. |
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| 作者姓名： | 邓伦治 李湘 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院 贵州贵阳550001 |
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| 摘 要： | 对于映射构成的半群的研究由来已久，而且得到了许多重要的结果。序关系一直是热门的研究问题，前人对于有限集合上的保序变换半群On的研究已经十分完善，而对于无限集合上的保序变换的研究一直是一个比较困难的问题。从无限可数集Z到有限集Xn={1，2，…，n}的保序映射关于映射的合成运算构成一个半群，借助前人研究On的方法和思想，讨论这个半群的格林关系。
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| 关 键 词： | 映射 序关系 格林关系 |
| 文章编号： | 1002-6983(2008)03-0004-02 |
| 修稿时间： | 2007年9月7日 |
Mapping with keeping order from countable infinite set to finite set |
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| DENG Lun-zhi,LI Xiang.Mapping with keeping order from countable infinite set to finite set[J].Journal of Guizhou Educational College(Social Science Edition),2008,19(3):4-6. |
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| Authors: | DENG Lun-zhi LI Xiang |
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| Institution: | ( Department of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou ,550001 China) |
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| Abstract: | The semi-group of mapping has been studied for a long time and many important results have been made. The order relation is a popular problem in our research and the previous study for the transformation semi-group with keeping order about finite set On is perfect. However , the study for keeping order transformation is a more dlft~- cult problem. The mapping with keeping order from countable infinite set Z to finite set Xn={1,2,…,n} makes up a semi-group according to the composed operation of mapping. Based on the previous ideas and means on studying On, we study the Green＇s relation of this semi-group. |
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| Keywords: | mapping order relation Green's relation |
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