Commuting Condition on Derivation in Prime Near Rings

Abstract

Several results assert that the existence of a suitably-constrained derivation on a prime near-ring forces the near-ring to be a ring. Our aim in this paper is to investigate the commuting conditions on derivations in near ring. Moreover, examples proving the necessity of the primeness condition are

given.

Key Words: Commuting condition, Derivation, Prime near-ring, Ring