|
|||||
|
|
| Abel正则球与完全正则半群 | |
| 引用本文： | 熊蕙萍. Abel正则球与完全正则半群[J]. 数学研究, 1996, 29(1): 34-37 |
| 作者姓名： | 熊蕙萍 |
| 作者单位： | 南昌大学数学系 |
| 摘 要： | 本文分别讨论了关于结合环和半群的二个定理，并且由结合环的这二个定理推出了如下准则：结合环Ｒ是Ａｂｅｌ正则的，当且仅当Ｒ的每个拟理想是正则环． |
| 关 键 词： | 正则环，Abel正则环，正则半群，完全正则半群 |
Abelian Regular Rings And Completely Regular Semigroups |
|
| Xiong Huiping. Abelian Regular Rings And Completely Regular Semigroups[J]. Journal of Mathematical Study, 1996, 29(1): 34-37 | |
| Authors: | Xiong Huiping |
| Affiliation: | Department of Mathematics of Nanchang University |
| Abstract: | In this paper,we prove two theorems for an associative ring and a semigroup respectively,From the theorems for an associative ring, we imply the following criterion:An associatve ring R is Abelian regular if and only if every qusi-ideal Q of R is a regular ring. |
| Keywords: | Regular ring Abelian regular ring Regular semigroup completely regular semigroup |
| 本文献已被 CNKI 维普 等数据库收录！ | |