ON NEARRING OF DIFFERENTIAL POLYNOMIALS OVER A REDUCED BAER RING

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.

Keywords:

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