ORE EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
Let Rbe a ring and ?be a quasi-derivation of R. In this paper, we show that if Ris a -skew Armendariz ring and satisfies the condition ?then Ris right p.q.-Baer if and only if the Ore extension ?is right p.q.-Baer. As a consequence we obtain a generalization of [10].
p.q.-Baer rings, Ore extensions, -skew Armendariz rings, -compatible rings, s-rigid rings.