(强)J-*-三幂等-clean环  

(Strongly) J-~*-tripotent-clean rings

作　　者：郑纪文 程智 ZHENG Ji-wen;CHENG Zhi(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8期13-19,27,共8页Journal of Shandong University(Natural Science)

基　　金：安徽省高校自然科学重点基金资助项目(KJ2018A0304,KJ2019A0488)。

摘　　要：引入了(强)J-*-三幂等-clean环的概念,举例说明了强J-*-三幂等-clean环类是强-clean环类的真子类,给出了强J-*-三幂等-clean环的刻画,作为应用,得到了这类环在一些环变换下的传递性质。The concept of(strongly)J-*-tripotent-clean ring is introduced.An example is given to illustrate that strongly J-*-tripotent-clean ring is a proper subclass of strongly clean ring.Some equivalent definitions of strongly J-*-tripotent-clean ring are given.As an application,some corresponding properties for transformations of rings are also given.

关 键 词：强~*-clean环 (强)J-~*-三幂等-clean环 ~*-三幂等元 Abelian环 

分 类 号：O153.3[理学—数学]