摘要
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。
This paper proves two theorems for an associative ring and a semigroup respectively.From the theorems for an associative ring,we imply the following.Criterion:An associative ring R is abelian regular if and only if every gusi-ideal Q of R is a regular ring.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2003年第4期319-320,共2页
Journal of Nanchang University(Natural Science)
基金
江西省教育厅立项课题([2001]361号文)
关键词
结合环
Abel-正则环
拟理想
完全正则半群
abelian regular ring
regular ring
regular semigroup
completely regular semigroup
