| 有限部分变换半群的幂等元生成集 |
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| 引用本文： | 高荣海,徐波,龙伟锋,龙伟芳. 有限部分变换半群的幂等元生成集[J]. 贵州师范大学学报(自然科学版), 2007, 25(4): 70-72 |
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| 作者姓名： | 高荣海 徐波 龙伟锋 龙伟芳 |
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| 作者单位： | 1. 贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001;贵州师范大学,学报编辑部,贵州,贵阳,550001
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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| 摘 要： | 设Xn={1,2,...,n},Pn是Xn上的所有部分变换所构成的半群,Sn是Xn上的n次对称群,SPn=PnSn,I是SPn中具有类(n,n-1)和(n-1,n-1)的幂等元所构成的集合,证明了
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| 关 键 词： | 部分变换 幂等元生成集 |
| 文章编号： | 1004-5570（2007）04-0070-03 |
| 收稿时间： | 2007-07-20 |
| 修稿时间： | 2007-07-20 |
Idempotent generators in finite partial transformation semigroup |
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| GAO Rong-hai,XU Bo,LONG Wei-feng,LONG Wei-fang. Idempotent generators in finite partial transformation semigroup[J]. Journal of Guizhou Normal University(Natural Sciences), 2007, 25(4): 70-72 |
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| Authors: | GAO Rong-hai XU Bo LONG Wei-feng LONG Wei-fang |
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| Affiliation: | 1. School of Mathematical and Computer Science, Guizhou Normal University, Gniyang, Guizhou 550001, China; 2. Editorial Board of Journal, Guizhou Normal University, Gniyang, Guizhou 550001, China |
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| Abstract: | Let Xn={1,2,...n},Pn is semigroup consisting of all partial transformations in Xn,the symmetric group of all permutations of Xn is denoted by Sn,SPn=PnSn,I is a set of idempotents of having(n,n-1)-classes and(n-1,n-1)-classes,we shall show that |
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| Keywords: | partial transformation idempotent generators |
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