强正则环的若干刻划  

Some Characterizations of Strongly Regular Rings

作　　者：潘勇[1] 

机构地区：[1]扬州教育学院数学系,江苏扬州225002

出　　处：《聊城师院学报（自然科学版）》2002年第3期19-21,共3页Journal of Liaocheng Teachers University(Natural Science Edition)

摘　　要：环R称为强正则的,如果任意的a∈R,使得a=a^2b.本文研究满足条件:每个单奇异右(或左)R-模是GP-内射的SF-环,并给出了强正则环的一些刻划.A ring R is called strongly regular if for each a in R there exists 6 in R such that a = a2b. The aim of this paper is to investigate some SF-rings whose simple singular right (or left )R-modules are GP-injective. Several new characteristic properties of strongly regular rings are also given.

关 键 词：单奇异模 GP-射模 强正则环 SF-环 环论 R-模 

分 类 号：O153.3[理学—数学]