简约PF—环  

Reduce PF-Ring

作　　者：陈兰清[1] 裘晓岚[1] 

机构地区：[1]福建师范大学数学系,福建福州350007

出　　处：《长沙大学学报》2002年第2期22-23,共2页Journal of Changsha University

摘　　要：本文首先说明简约PF—环与零可换PF—环是一致的 ,接着证明环R是简经PF—环当且仅当对于R的任一元r,如果x∈lR(r) ,则存在 y∈lR(r)使得x =xy =yx ,利用这一内刻划 ,获知正规几乎PP—环是简约PF—环 ,并获得简约PF—环的一些性质 .This article first states the consistency between reduce PF ring and zero PF ring,then proves that if x∈l R(r),then y∈l R(r),thus x=xy=yx,through which weve got to know that normal almost PP ring is reduce PF ring and some of the properties of reduce PF ring are justified.

关 键 词：简约环 PF-环 零化子 纯理想 

分 类 号：O153.3[理学—数学]