%0 Journal Article
%T 强g(x)-J-Clean环<br>On strongly g(x)-J-clean rings
%A 高汉鹏
%A 殷晓斌&lt
%A br&gt
%A GAO Han-peng
%A YIN Xiao-bin
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2016.269
%X 摘要： 介绍了强g(x)-J-clean环的概念。 说明了强J-clean环是强x(x-1)-J-clean环。 给出了强g(x)-J-clean环以及强J-clean 环的一些等价刻画。同时证明了强(xn-x)-J-clean环是直有限的且有稳定秩1(n≥2)。<br>Abstract: The concept of strongly g(x)-J-clean rings is introduced. It is proved strongly J-clean rings are strongly x(x-1)-J-clean. Moreover, equivalent characters for strongly g(x)-J-clean rings and J-clean rings are given. It is proved that strongly (xn-x)-J-clean rings are directly finite and have stable range one (n≥2)
%K J-clean环
%K &lt
%K i&gt
%K g(x&lt
%K /i&gt
%K )-clean环
%K clean环
%K 强&lt
%K i&gt
%K g(x&lt
%K /i&gt
%K )-J-clean环
%K &lt
%K br&gt
%K clean rings
%K strongly J-clean rings
%K strongly &lt
%K i&gt
%K g(x)&lt
%K /i&gt
%K -J-clean rings
%K &lt
%K i&gt
%K g(x&lt
%K /i&gt
%K )-clean rings
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.269