摘要
本文考虑了环的一类交换性条件,所得结果包含了文[1]的结论.
In this paper the following results are proved: Theorem 1 If R is Baer semi-simple ring,and for some integer n>1,every x,y∈R,the identity holds,and for any positive integer m≤n,x∈R,x≠0x=0, then R is commutative ring. Theorem 2 If R is Baer semi-simple ring,p is a prime px=0 (x∈R)x=0,and for some positiveinteger n>1,every x,y∈R the identity (x+y)=x+y holds,and R is a vactor space of F,for α∈F,x,y∈R,α(xy)=(αx)y=x(αy) holds,then R is a commutative ring.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1991年第3期11-13,共3页
Journal of Northeast Normal University(Natural Science Edition)
