摘要
推广了唯一强clean环的概念,定义了唯一强clean一般环,得到了唯一强clean一般环的若干性质,并且给出了一般环的三角矩阵环和斜幂级数环是唯一强clean的条件.
In this paper,we define uniquely strongly clean general rings,generalizing uniquely strongly clean rings.Some basic properties about uniquely strongly clean general rings are obtained.In particular,it is shown the condition for the triangular matrix rings and skew power series rings over general rings being uniquely strongly clean.
作者
孙晓青
SUN Xiao-qing(School of Science,Xi'an University of Technology,Xi'an 710054,China)
出处
《数学的实践与认识》
2022年第7期221-232,共12页
Mathematics in Practice and Theory
基金
陕西省科技计划项目(2021JM-341,2021JQ-485)
西安市科技计划项目(2020KJRC0092)。
关键词
一般环
唯一强clean环
三角矩阵环
斜幂级数环
general ring
uniquely strongly clean ring
triangular matrix ring
skew power series ring
