ON 2-PRIMAL SKEW POLYNOMIAL RINGS

Abstract

In this article, we discuss minimal prime ideals of a Noetherian ring R. We recall σ(∗) property on a ring R, where σ is an automorphism of R (i.e. aσ(a) ∈ P(R) implies a ∈ P(R) fora ∈ R, where P(R) is the prime radical of R). We ultimately show that if R is a Noetherian ring satisfying this property, then R[x;σ] is a 2-primal ring.