E HASHEMI - Islamic Azad University, Shahrood Branch, Shahrood, Iran & Department Of Mathematics, Shahrood University Of Thechnology, Shahrood, Iran.
N.H ABOTALEBI - Islamic Azad University, Shahrood Branch, Shahrood, Iran

Let R be a ring with unity. For a derivation δ, the system R[x;δ] forms an abelian nearring under addition and substitution operations. In this paper we study the annihilator conditions on nearring of differential polynomials, when R is a reduced Bear ring.

Annihilator conditions, Nearrings, derivation polynomial rings, Bear rings, Armendariz rings