极大本质左理想是理想的SF－环  

SF-rings Whose Maximal Essential Left Ideals are Ideals

作　　者：章聚乐[1] 

机构地区：[1]安徽师范大学数学系

出　　处：《数学进展》1994年第3期257-262,共6页Advances in Mathematics（China）

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.

关 键 词：正则环 自内射环 MELT环 SF环 理想 

分 类 号：O153.3[理学—数学]