Ore extensions over Noetherian δ-rings

Abstract

Let R be a ring. Let σ be an automorphism of R such that aσ(a) ∈ P(R) implies a ∈ P(R) for a ∈ R and δ a σ-derivation of R such that aδ(a) ∈ P(R) implies a ∈ P(R), where P(R) denotes the prime radical of R. In this paper we show that if R is Noetherian ring such that σ(P) = P for all minimal prime ideal P of R, then R[x;σ,δ] is 2-primal.