Properties of (σ, δ)-Rings

For a ring R, an automorphism σ of R and δ a σ-derivation of R, we introduce (σ, δ)-ring and (σ, δ)-rigid ring which are the generalizations of σ(∗)-rings and δ-rings, and investigate their properties. Moreover, we prove that a (σ, δ)-ring is 2-primal and for a (σ, δ)-ring R, the prime radical is completely semi-prime.