International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 737-740
doi:10.1155/S0161171297001002
On prime and semiprime near-rings with derivations
Ege University, Science Faculty, Department of Mathematics, Bornova, Izmir 35100, Turkey
Received 10 July 1995; Revised 16 April 1996
Copyright © 1997 Nurcan Argaç. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.