摘要
证明了满足下列条件的半质环是交换环:对R中任意元x,y存在整数s=s(x)>1,t=t(x)>1(或s=s(y)>1,t=t(y)>1),使得[xy,xxyy]∈Z(R).
In this paper, the author proved the following commutativity theorem on semi-prime rings: Let R be semi -prime rings, for any x, y∈R, there exist integers s=s(x)>1, t=t(x)>1 (or s=s(y)>1, t=t(y)>1), such that [xy, xxyt]∈Z(R), then R is commutative.
出处
《哈尔滨理工大学学报》
CAS
2004年第5期88-89,共2页
Journal of Harbin University of Science and Technology
