| 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 |
| 一类Clifford半群的幂半群 |
| Power Semigroups of a Class of Clifford Semigroups |
| 投稿时间：2012-05-31 修订日期：2013-10-12 |
| DOI：10.3770/j.issn:2095-2651.2014.01.007 |
| 中文关键词: 群 群的$n$元链 闭子半群 幂半群. |
| 英文关键词:group $n$-element chain of groups closed subsemigroup power semigroup. |
| 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). |
|
| 摘要点击次数: 2772 |
| 全文下载次数: 2512 |
| 中文摘要: |
| 设$S=\bigcup (G_{\alpha}: \alpha\in E)$是群的半格(即Clifford半群)及$n$是自然数.若$E$是$n$-元链, 则称$S$是群的$n$元链.记$\mathcal{C}_{n}$为所有群的$n$元链所构成的集合.本文我们将证明对任意自然数$n$,半群类$\mathcal{C}_{n}$均满足强同构性质. |
| 英文摘要: |
| 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. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
