| 保距变换半群PDI_n的基数 |
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| 引用本文： | 龙伟芳,龙伟锋.保距变换半群PDI_n的基数[J].凯里学院学报,2012,30(3):3-4. |
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| 作者姓名： | 龙伟芳 龙伟锋 |
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| 作者单位： | 1. 凯里学院数学科学学院,贵州凯里,556011
2. 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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| 基金项目： | 凯里学院重点学科建设项目，2010年凯里学院院级课题 |
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| 摘 要： | 设Xn={1,2,…,n},Sn,In分别为Xn上的置换群与对称逆半群,令PDIn={α∈In\Sn:x,y∈dom α■︱xα-yα︱=︱x-y︱},那么PDIn为In的一个子半群,称为保距变换半群.本文给出了保距变换半群PDIn的基数.
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| 关 键 词： | 对称逆半群 子半群 基数 |
Cardinality of Distance-preserving Transformation Semigroup PDIn |
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| LONG Wei-fang
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LONG Wei-feng.Cardinality of Distance-preserving Transformation Semigroup PDIn[J].Journal of Southeast Guizhou National Teachers College,2012,30(3):3-4. |
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| Authors: | LONG Wei-fang LONG Wei-feng |
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| Institution: | 1.College of Mathematics and Science,Kaili Univsity,Kaili,Guizhou,556011,China;2.College of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou,550001,China) |
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| Abstract: | Let Xn ={1,2,……,n}.Snand Indenote the permutation group and the symmetricinverse semigroup on Xn,respectively.Let PDIn = {α∈In\Sn:x,y∈domα■︱xα-yα︱=︱x-y︱}.Then PDInis a subsemigroup of In,called the distance-preserving transformation semigroupon Xn.In this paper,we derive the cardinality of the semigroup PDIn. |
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| Keywords: | symmetric inverse semigroup subsemigroup cardinality |
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