杭州师范大学学报（自然科学版）2018，Vol.17Issue(2)：191-194,202,5.DOI:10.3969/j.issn.1674-232X.2018.02.014
关于J-quasipolar环
On J-quasipolar Rings
摘要
Abstract
The notion of J-quasipolar elements of rings was introduced by Cui Jian and Chen Jianlong in 2012.An element a in a ring R is J-quasipolar if there exists p 2=p∈comm2(a)satisfying a+p∈J(R),A ring called J-quasipolar ring if every element is J-quasipolar.It is shown that R is a J-quasiolar ring if and only if for R is a quasipolar ring and R is a strongly J#-clean ring.It is also proved that R is nil-quasipolar ring if and only if R is J-quasipolar ring and J(R)is nil.关键词
J-quasipolar环/Jacobson根/布尔环/强nil-clean环Key words
J-quasipolar ring/Jacobson radical/Boolean ring/strongly nil-clean ring分类
数理科学引用本文复制引用
郑振,陈焕艮..关于J-quasipolar环[J].杭州师范大学学报（自然科学版）,2018,17(2):191-194,202,5.基金项目
Supported by the Natural Science Foundation of Zhejiang Province(LY17A010018). （LY17A010018）
