Skew laurent polynomial extensions of baer and p.p.-rings

Abstract

Let R be a ring and α a monomorphism of R. We study the skew Laurent polynomial rings R[x, x-1; α] over an α-skew Armendariz ring R. We show that, if R is an α-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x-1; α] is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x-1] is a Baer (resp. p.p.-)ring. © 2009 The Korean Mathematical Society.