| 阿基米德序半群的链(英文) |
| |
| 引用本文： | 唐剑,谢祥云. 阿基米德序半群的链(英文)[J]. 数学进展, 2011, 0(1) |
| |
| 作者姓名： | 唐剑 谢祥云 |
| |
| 作者单位： | 阜阳师范学院数学与计算科学学院;五邑大学数学与计算科学学院; |
| |
| 基金项目： | supported by NSFC(No.10961014); the Guangdong Provincial Natural Science Foundation of China(No.0501332); the Anhui Provincial Excellent Youth Talent Foundation(No.2009SQRZ149); the Fuyang Normal College Youth Foundation(No.2008LQ11) |
| |
| 摘 要： | 本文通过一个序半群S上的一些二元关系以及它的理想(右理想,双理想)的根集分别给出了该序半群是阿基米德(右阿基米德,t-阿基米德)序子半群的链的刻画.进一步证明了准素序半群是阿基米德序半群的链.最后,通过素根定理证明了序半群S是阿基米德序子半群的链当且仅当S是阿基米德序子半群的半格且S的所有素理想关于集合的包含关系构成链.
|
| 关 键 词： | 序半群 素理想 准素理想 阿基米德(右阿基米德 t-阿基米德)序半群 半格 |
Chains of Archimedean Ordered Semigroups |
| |
| TANG Jian,XIE Xiangyun. Chains of Archimedean Ordered Semigroups[J]. Advances in Mathematics(China), 2011, 0(1) |
| |
| Authors: | TANG Jian XIE Xiangyun |
| |
| Affiliation: | TANG Jian~(1,*),XIE Xiangyun~2 (1.School of Mathematics and Computational Science,Fuyang Normal College,Fuyang,Anhui,236041,P.R.China,2.School of Mathematics and Computational Science,Wuyi University,Jiangmen,Guangdong,529020,P.R.China) |
| |
| Abstract: | In this paper,some characterizations for an ordered semigroup S to be a chain of archimedean(r-archimedean,t-archimedean) ordered subsemigroups are given by some binary relations on S and the radical subsets of ideals(right ideals,bi-ideals) of S.Furthermore,we prove that semiprimary ordered semigroups are exactly chains of archimedean ordered semigroups. Finally,using the prime radical theorem,we prove that an ordered semigroup S is a chain of archimedean ordered subsemigroups if and only if S is a semilat... |
| |
| Keywords: | ordered semigroup prime ideal semiprimary ideal archimedean(r-archimedean t-archimedean) ordered semigroup semilattice |
| 本文献已被 CNKI 等数据库收录！ |
|
