关于强m-clean环的一个注记  

A Note on Strongly m-clean Rings

作　　者：胡蝶 殷晓斌 HU Die;YIN Xiaobin(School of Mathematics and Statistics,Anhui Normal University,Wuhu,Anhui,241002,P.R.China)

机构地区：[1]安徽师范大学数学与统计学院,芜湖安徽241002

出　　处：《数学进展》2022年第5期873-878,共6页Advances in Mathematics（China）

基　　金：supported in part by Anhui Provincial Natural Science Foundation(No.2008085MA06);the Key Project of Anhui Education Committee(No.gxyqZD2019009)。

摘　　要：对于给定的整数m≥2,若环R中的元素均可写成一个m-potent元和一个可逆元的和,且二者可以交换,则称R为强m-clean的.本文对强m-clean环作了进一步的研究,给出了强m-clean环的一些具体例子.Given a fixed integer m≥2,a ring R is called strongly m-clean if every element of R can be written as the sum of an m-potent and a unit that commute.In this paper,we continue the study of strongly m-clean rings,and provide some illustrative examples.

关 键 词：强m-clean环 半clean环 群环 

分 类 号：O153.3[理学—数学]