New York Journal of Mathematics
Volume 14 (2008) 403-410


Ebrahim Hashemi

A note on p.q.-Baer modules

Published: August 30, 2006
Keywords: Quasi-Baer modules, α-compatible modules, quasi-Armendariz modules
Subject: 16D80, 16S36

A module MR is called right principally quasi-Baer (or simply right p.q.-Baer) if the right annihilator of a principal submodule of R is generated by an idempotent. Let R be a ring. Let α be an endomorphism of R and MR be a α-compatible module and T=R[[x;α]]. It is shown that M[[x]]T is right p.q.-Baer if and only if MR is right p.q.-Baer and the right annihilator of any countably-generated submodule of M is generated by an idempotent. As a corollary we obtain a generalization of a result of Liu, 2002.


This research is supported by Shahrood University of Technology of Iran.

Author information

Department of Mathematics, Shahrood University of Thechnology, Shahrood, Iran, P.O.Box: 316-3619995161