半质环的两个交换性定理

Two Communitity Theorems of Semi-Prime Ring

本文证明了半质环的两个交换性定理。

In this paper, we proved that the following main results.Theorem Let R be a semi-prime ring, for any y∈R, there exist s=s(y), m =m (y), n =n (y)and fy(t)∈{t2g(t)|g(t)∈Z(t)}, the sum of all the coefficients of fy(t) is 0 or 2, and degree of fy(t)is bounded, R satisfics one of the fouowing conditions.R is communitivc.