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Abstract
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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

Nurcan Argaç

Ege University, Science Faculty, Department of Mathematics, Bornova, Izmir 35100, Turkey

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}.