摘要
本文研究了满足恒等式[x,y]=[(xy)^n,(yx)^m]的结合环R的一些性质，其中，n,m为依赖于x,y的正整数，且至少有一者大于1，最后证明了如果n,m是有界的话，那么R是一个交换环。
This paper investigates some properties of the associative ring which satisfies the identity [x,y] =[(xy)n, (yx)m] (Where n and m, depending on x,y,are positive integers of which at least one is greater than 1). The main result is that : if n and m are limited moreover, Ris commutative.
