摘要
主要利用拟可逆元和m-potent元的概念,定义了Q-m-clean元和Q-m-clean环,给出了Q-m-clean元的一些等价条件,研究了Q-m-clean环的一些性质,证明了Q-m-clean环的同态像及有限直积均是Q-m-clean环。
The concepts of Q-m-clean elements and Q-m-clean rings are defined by means of quasi-invertible elements and m-potent elements.Some equivalence conditions about Q-m-clean elements are given,some proporties about Q-m-clean rings are studied,and the relation between Q-m-clean rings and other rings are also explained.It is mainly found that the homomorphism of Q-m-clean rings are also Q-m-clean,and the finite direct product of Q-m-clean rings are also Q-m-clean.
作者
李莹
殷晓斌
LI Ying;YIN Xiao-bin(College of Mathematics and Statistics,Anhui Normal University,Wuhu 241000,China)
出处
《安徽师范大学学报（自然科学版）》
2022年第1期18-22,共5页
Journal of Anhui Normal University(Natural Science)
基金
安徽省自然科学基金项目(2008085MA06).
