从无限可数集到有限集的保序映射  

Mapping with keeping order from countable infinite set to finite set

作　　者：邓伦治[1] 李湘[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001

出　　处：《贵州教育学院学报》2008年第3期4-5,10,共3页Journal of Guizhou Educational College(Social Science Edition)

基　　金：贵州省科技基金资助项目[(2007)2008号]

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。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.

关 键 词：映射 序关系 格林关系 

分 类 号：O152.7[理学—数学]