摘要
由Ｒａｍａｍｕｒｔｈｉ和Ｍｉｎｇ的两个公开问题所推动，本文证明了如下结果：（１）如果Ｒ是ＭＥＬＴ，ＳＦ－环，那么Ｒ是正则环；（２）如果Ｒ是ＭＥＬＴ，左ＣＥ－内射，右ＳＦ－环，那么Ｒ是具有有界指数的左和右自内射正则，左和右Ｖ－环．这就给出了Ｒａｍａｍｕｒｔｈｉ和Ｍｉｎｇ两个公开问题的部分回答．
This work is motivated by open problems posed by Ramamurthi and Ming,and the following resuIts are provedi(1)If R is an MELT,SF-ring,then R is regular;(2)if R is an MELT,left CE-injective,right SF-ring,then R is a left and right self-injec-tive regular,left and right V-ring of bounded index. These give partial answers to some questions posed by Ramamurthi and Ming.
出处
《数学进展》
CSCD
北大核心
1994年第3期257-262,共6页
Advances in Mathematics（China）
关键词
正则环
自内射环
MELT环
SF环
理想
r von Neumann regular ring,self-injective ring
SF-ring
quasi-duo ring
MELT ring
CE-injective ring
