| 关于内正则Duo序半群 |
| |
| 引用本文： | 施智杰.关于内正则Duo序半群[J].纺织高校基础科学学报,2008,21(4):393-397. |
| |
| 作者姓名： | 施智杰 |
| |
| 作者单位： | 西北大学,数学系,陕西,西安,710127;山西大同大学,数学与计算机科学学院,山西,大同,037009 |
| |
| 摘 要： | 给出内正则duo序半群的刻划，证明一个序半群S是内正则duo的当且仅当它是单且左单且右单的半群半格．特别地，S是单且左单且右单的序半群链当且仅当S是内正则duo的且S的所有理想关于集合的包含关系构成链．
|
| 关 键 词： | 内正则序半群 duo序半群 理想 单(左单 右单)序半群 |
On intra-regular and duo ordered semigroups |
| |
| SHI Zhi-jie.On intra-regular and duo ordered semigroups[J].Basic Sciences Journal of Textile Universities,2008,21(4):393-397. |
| |
| Authors: | SHI Zhi-jie |
| |
| Affiliation: | SHI Zhi-jie ( 1. Department of Mathematics, Northwest University, Xi＇an 710127, China; 2. Department of Mathematics, Shanxi Datong University, Datong, Shanxi 037009 ,China) |
| |
| Abstract: | The characterizations of intra-regular and duo ordered semigroups are given, and the result that an ordered semigroup is intra-regular and duo ordered semigroups are given,and the result that an ordered semigroup is intra-regular and duo if and only if it is a semilattice of intra-regular and simple and left simple and right simple sub-semigroups is proved. Particularly, S is a chain of simple and left simple and right simple ordered semigroups if and only if it is intra-regular and duo and the ideals of S form a chain with respect of inclusion. |
| |
| Keywords: | intra-regular ordered semigroup duo ordered semigroup ideal simple（left sim-ple right simple） ordered semigroup |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
