On ore extensions of quasi-baer rings

Abstract

A ring R is called (right principally) quasi-Baer if the right annihilator of every (principal right) ideal of R is generated by an idempotent. We study on the relationship between the quasi-Baer and p.q.-Baer property of a ring R and these of the Ore extension R[x;α,δ] for any automorphism α and α-derivation δ of R. © 2008 World Scientific Publishing Company.