半质环的一个定理

A Theorem on Semi-prime Ring

本文先对任何的自然数m和n定义了环的[m,n]—超中心,然后证明了在半质环中[1,n]—超中心与中心重合。 这个结论推广了郭元春1983年导出的定理6。

For any natural number, the [m,n]-hypercenter on a ring is defined in this paper. The [1,n]-hypercenter on a semi-prime ring that coincides with the center is also proved. This-result generalizes the theorem 6 proved by Guo Yuanchun in 1983.