Skew inverse Laurent series extensions of weakly principally quasi Baer rings

Abstract

A ring [Formula: see text] is called weakly principally quasi Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is left [Formula: see text]-unital by left semicentral idempotents, which implies that [Formula: see text] modulo the right annihilator of any principal right ideal is flat. We study the relationship between the weakly p.q.-Baer property of a ring [Formula: see text] and those of the skew inverse series rings [Formula: see text] and [Formula: see text], for any automorphism [Formula: see text] and [Formula: see text]-derivation [Formula: see text] of [Formula: see text]. Examples to illustrate and delimit the theory are provided.