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| 一类Clifford半群的幂半群 | |
| 引用本文： | 胡兰兰,甘爱萍. 一类Clifford半群的幂半群[J]. 数学研究及应用, 2014, 34(1): 73-83 |
| 作者姓名： | 胡兰兰 甘爱萍 |
| 作者单位： | 江西师范大学数学与信息科学学院, 江西 南昌 330022;江西师范大学数学与信息科学学院, 江西 南昌 330022 |
| 基金项目： | 国家自然科学基金(Grant No.11261021), 江西省自然科学基金(Grant No.2010GZS0093). |
| 摘 要： | Let S =∪（Gα ： α ∈ E） be a semilattice of groups（i.e., a Cliford semigroup） and n a natural number. E is called an n-element chain of groups if it is an n-element chain. Denote by Cn the set of all n-element chains of groups. In this paper we shall show that for any natural number n, the class of semigroups Cn satisfies the strong isomorphism property. |
| 关 键 词： | Clifford半群 幂半群 自然数 元素 半格 基团 集合 同构 |
| 收稿时间： | 2012-05-31 |
| 修稿时间： | 2013-10-12 |
Power Semigroups of a Class of Clifford Semigroups |
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| Lanlan HU and Aiping GAN. Power Semigroups of a Class of Clifford Semigroups[J]. Journal of Mathematical Research with Applications, 2014, 34(1): 73-83 | |
| Authors: | Lanlan HU and Aiping GAN |
| Affiliation: | College of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China;College of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China |
| Abstract: | Let $S=bigcup (G_{alpha}: alphain E)$ be a semilattice of groups (i.e., a Clifford semigroup) and $n$ a natural number. $E$ is called an $n$-element chain of groups if it is an $n$-element chain. Denote by $mathcal{C}_{n}$ the set of all $n$-element chains of groups. In this paper we shall show that for any natural number $n$, the class of semigroups $mathcal{C}_{n}$ satisfies the strong isomorphism property. |
| Keywords: | group $n$-element chain of groups closed subsemigroup power semigroup. |
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