| 一类Clifford半群的幂半群 |
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| 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. |
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| 作者姓名： | 胡兰兰 甘爱萍 |
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| 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 |
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| 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). |
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| 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.
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| 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： | 2012/5/31 0:00:00 |
| 修稿时间： | 2013/10/12 0:00:00 |
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. |
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| Authors: | Lanlan HU and Aiping GAN |
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| Institution: | 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 |
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| Abstract: | Let $S=\bigcup (G_{\alpha}: \alpha\in E)$ 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. |
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| Keywords: | group $n$-element chain of groups closed subsemigroup power semigroup |
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