International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 737-740

On prime and semiprime near-rings with derivations

Nurcan Argaç

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.


Let N be a semiprime right near-ring, A a subset of N such that 0A and ANA, 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}.