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.
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)
出处
《数学进展》
CSCD
北大核心
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)。
