半质环的一个交换性条件

On a commutativity conditions of semi-prime rings

给出了半质环的一个交换性条件为半质环R中的任意元素均满足[m,n(i)]中心条件,而雷震,董乃昌,I N Herstein等人的某些结果则成为本文定理的直接推论。关键词:

A commutativity condition on semi-prime rings was proved： arbitrary element R in semi-prime ring satisfies center condiston of [ m, n （ i ） ] . And rome results from ZHENG Lei, DONG Nai-chong and I N Herstein become the direct consequence of the theorem.