| 半群V(n,r)的幂等元秩 |
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| 引用本文： | 赵平. 半群V(n,r)的幂等元秩[J]. 山东大学学报(理学版), 2012, 47(2): 78-81 |
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| 作者姓名： | 赵平 |
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| 作者单位： | 贵阳医学院数学教研室,贵州贵阳,550004 |
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| 基金项目： | 贵州省科学技术基金项目(黔科合[2010]3174) |
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| 摘 要： | 设SPCn是[n]上的降序且保序严格部分变换半群。对n≥5和3≤r≤n-2,证明了半群V(n,r)={α∈SPCn:|lim(α)|≤r}是幂等元生成的,且它的秩和幂等秩均为sum from n-1 to k=r((nk)(k-1 r-1))。
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| 关 键 词： | 变换半群 降序 保序 幂等元秩 秩 |
| 收稿时间： | 2011-03-03 |
On the idempotent ranks of the semigroup V(n,r) |
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| ZHAO Ping. On the idempotent ranks of the semigroup V(n,r)[J]. Journal of Shandong University, 2012, 47(2): 78-81 |
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| Authors: | ZHAO Ping |
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| Affiliation: | ZHAO Ping(Mathematics Teaching & Research Section,Guiyang Medical College,Guiyang 550004,Guizhou,China) |
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| Abstract: | Let SPCn be the semigroup of all strictly decreasing and order-preserving partial transformations on [n].For n≥5 and 2≤r≤n-2,we show that the subsemigroup V(n,r)={α∈SPCn:|im(α)|≤r} is idempotent-generated,with both rank and idempotent rank are equal to sum from n-1 to k=r((nk)(k-1 r-1)). |
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| Keywords: | transformation semigroup decreasing order-preserving idempotent rank rank |
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