DIFFERENTIAL POLYNOMIALS OVER BAER RINGS

Abstract

Let R be a ring with unity and δ a derivation on R. In this paper we extend a result of Armendariz on the Baer condition in a polynomial ring to a Baer condition in a nearring of differential polynomial. The nearring of differential has substitution for its ”multiplication” operation.

Keywords

• annihilator conditions, nearrings, derivation polynomial rings, Baer rings, Armendariz rings

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19. Department of Mathematics Shahrood University of Technology Shahrood, Iran P.O.Box: 316-3619995161 e-mail: eb−[e-mail] eb−[e-mail]