摘要
一个环R称为弱JU环,如果U(E)=±1+J(E),其中U(E)和J(E)分别表示环R的可逆元集合和Jacobson根.进一步给出弱JU环的一些特征刻画,讨论弱JU环的若干扩张性质.
A ring R is called weakly JU rings,if U(R)=±1+J(R),where U(R) and J(R)denote the unit group and Jacobson radical of the ring R,respectively.This paper gives further some characterizations of weakly JU rings and investigate their extension properties.
作者
吴文涛
王尧
任艳丽
WU Wen-tao;WANG Yao;REN Yan-li(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China;School of Information Engineering,Nanjing Xiaozhuang University,Nanjing 211171,China)
出处
《数学的实践与认识》
2021年第10期261-268,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11071097)
江苏省自然科学基金(BK20181406)。
关键词
弱JU环
JU环
环扩张
weakly JU ring
JU ring
ring extension
