关于Weakly UJ#环OACSTPCD
On Weakly UJ#Rings
引进了一类新环:环 R是弱U J#环,如果所有的可逆元对于某些 j∈ J#(R)都可以表示成1+ j或 -1+ j的形式,也可以表示为U(R)=(1+ J#(R))∪(-1+ J#(R)).这里,J#(R)={x∈ R|? n,使得 xn∈ J(R)}.证明了一个环 R的弱U J#性在角环和 S(R,σ)下是保持的.每个abelian weakly nil clean环是弱U J#环.如果 I是环R的幂零理想,那么R/I是弱U J#环当且仅当 R…查看全部>>
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#rin…查看全部>>
郝亚璞;何亚茹;陈焕艮
杭州师范大学理学院,浙江 杭州310036杭州师范大学理学院,浙江 杭州310036杭州师范大学理学院,浙江 杭州310036
数理科学
weakly UJ#环weakly UU环weakly nil clean环cleanweakly UJ#环
weakly UJ#ringweakly UU ringweakly nil clean ringclean weakly UJ#ring
《杭州师范大学学报（自然科学版）》 2018 (1)
90-94,5
Supported by the Natural Science Foundation of Zhejiang Province(LY17A010018).
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