On additive maps of prime rings satisfying the engel condition |
| |
| Authors: | KL Beidar Y Fong P-H Lee T-L Wong |
| |
| Institution: | 1. Department of Mathematics , National Cheng-Rung University , Tainan, Taiwan;2. Department of Mathematics , National Taiwan University , Taipei, Taiwan |
| |
| Abstract: | Let A be a prime ring with nonzero right ideal R and f : R → A an additive map. Next, let k,n1, n2,…,nk be natural numbers. Suppose that …(x), xn1], xn2],…, xnk]=0 for all x ∈ R. Then it is proved in Theorem 1.1 that f(x),x]=0 provided that either char(A)=0 or char (A)> n1+n2+ …+nk Theorem 1.1 is a simultaneous generalization of a number of results proved earlier. |
| |
| Keywords: | |
|
|
