JGR-clean环  

On JGR-clean rings

作　　者：徐莹莹 殷晓斌 XU Ying-ying;YIN Xiao-bin(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,Anhui,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《山东大学学报（理学版）》2020年第2期84-90,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11401009);安徽省高校自然科学重点基金资助项目(KJ2019A0488).

摘　　要：引入了(强)JGR-clean环的概念。说明了JGR-clean环是J-clean环的真推广,研究了(强)JGR-clean环的一些基本性质以及扩张,同时讨论了(强)JGR-clean环与一些特殊环之间的关系。The concepts of(strongly)JGR-clean rings are introduced.It is proved that JGR-clean rings are the real generalization of J-clean rings.Basic properties and extension properties of such rings are investigated.Moreover,the relationships between(strongly)JGR-clean rings and some special rings are discussed.

关 键 词：J-clean环 Π-正则环 强π-正则环 JGR-clean环 强JGR-clean环 

分 类 号：O153.3[理学—数学]