关于拟duo-环的正则性  

On the Regularity of Quasi-Duo Rings

作　　者：郭莉琴[1] 赵良[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《甘肃联合大学学报（自然科学版）》2004年第3期13-15,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：主要用P-V-环刻画了拟duo-环的正则性,证明了如果R是左拟duo-环,则以下等价:(1)R是强正则环;(2)R是半交换左P-V-环;(3)R是2-素的左P-V-环.In this paper,we use P-V-rings to characterize the regularity of quasi-duo rings.Let R be a left quasi-duo ring,we mainly proved the following results are equivalent:(1)R is a strongly regular ring.(2)R is a semicommutative left P-V-ring.(3)R is a 2-primal left P-V-ring.

关 键 词：拟duo-环 正则性 GP-内射模 强正则性 弱正则性 同态 正则环 

分 类 号：O153.3[理学—数学]