On prime and semiprime near‐rings with derivations
Articles > Article · 1996
Authors: Nurcan Argaç
International Journal of Mathematics and Mathematical Sciences, International, 1996, vol 20, pp 737-740
DOI: 10.1155/s0161171297001002
Summary
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}.