| 有向路上的保向部分一一变换半群 |
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| 引用本文： | 顾九华. 有向路上的保向部分一一变换半群[J]. 浙江师范大学学报(自然科学版), 2008, 31(2): 141-144 |
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| 作者姓名： | 顾九华 |
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| 作者单位： | 杭州师范大学,初等教育学院,浙江,杭州,310036 |
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| 摘 要： | 设In是集Xn={1,2,3,…,n}上的对称逆半群，且有向路为ρ={（1,2）,（2,3）,（3,4）…（n-1,n）},令Iρ={α∈In：任意x,y∈dom α,（x,y）∈ρ→（xα,yα）∈ρ}∪{Ф}.证明了Iρ是一个类A子半群，研究了Iρ的Green＊-关系，进一步得到Iρ的＊理想.
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| 关 键 词： | 对称逆半群 富足半群 类A半群 ＊理想 Green＊-关系 |
| 文章编号： | 1001-5051(2008)02-0141-04 |
| 修稿时间： | 2007-09-16 |
Semigroup of all orienation-preserving partial ingeatuie transformation on a finite path |
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| GU Jiuhua. Semigroup of all orienation-preserving partial ingeatuie transformation on a finite path[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(2): 141-144 |
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| Authors: | GU Jiuhua |
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| Affiliation: | GU Jiuhua ( College of Primary Education, Hangzhou Normarl University, Hangzhou Zhejiang 310036, China ) |
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| Abstract: | Abstract： Let In be a symmetric inverse subsemigroup on the set Xn={1,2,3…,n},and ρ={（1,2）,（2,3）,（3,4）…（n-1,n）} a directed path.Let Iρ={α∈In：arbitaryx,y∈dom α,（x,y）∈ρ→（xα,yα）∈ρ}∪{Ф}.It was proved Iρ was a type A subsemigroup of In , furthermore the Green ＊ -relations of Iρ was investigated and the ＊ -ideal of Iρ was obtained. |
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| Keywords: | symmetric inverse semigroup abundant semigroups type A semigroups ＊ -ideal Green ＊ -relations |
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