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满足(xy)~k=x~ky~k半质环的交换性
The Commutative of Semi-prime Ring Satisfying Condition (xy)k =xkyk
【摘要】 证明了满足条件<α>的半质环R含有正则元时是交换环.<α>:(?)x,y∈R有依于它们的自然数n=n(x,y),使(xy)n+i=xn+iyn+i,i=0,1,2成立.
【Abstract】 In this paper the following theorem will be proved: Let R be a semi-prime ring with normal element. If R satisfies the condition <α>,R is commutative. <α>:For (?)x, y∈R, there is an integer n= n(x, y), depending possibly on x, y, such that (xy)n+i=xn+iyn+i,i= 0, 1, 2.
- 【文献出处】 哈尔滨理工大学学报 ,Journal of Harbin University of Science and Technology , 编辑部邮箱 ,2002年02期
- 【分类号】O153.3
- 【被引频次】1
- 【下载频次】28