杭州师范大学学报（自然科学版）2018，Vol.17Issue(1)：90-94,5.DOI:10.3969/j.issn.1674-232X.2018.01.019
关于Weakly UJ#环
On Weakly UJ#Rings
摘要
Abstract
A new class of rings is introduced.A ring R is called a weakly UJ#ring if every unit can written as 1+ j or -1+ j,where j∈ J#(R),i.e.,U(R)=(1+ J#(R))∪(-1+ J#(R)).Here,J#(R)= {x∈ R|? n,such that xn∈ J(R)}.These rings are shown to be a unifying generalization of corners and S(R,σ).In this article,every abelian weakly nil clean ring is weakly UJ#.If I is a nil-ideal,then R/I is weakly UJ#if and only if so is R.Furthermore,the description of clean weakly U J#ring is established.If R is a clean ring,then R is weakly UJ#if and only if R/J(R)is weakly UU.关键词
weakly UJ#环/weakly UU环/weakly nil clean环/cleanweakly UJ#环Key words
weakly UJ#ring/weakly UU ring/weakly nil clean ring/clean weakly UJ#ring分类
数理科学引用本文复制引用
郝亚璞,何亚茹,陈焕艮..关于Weakly UJ#环[J].杭州师范大学学报（自然科学版）,2018,17(1):90-94,5.基金项目
Supported by the Natural Science Foundation of Zhejiang Province(LY17A010018). （LY17A010018）
