 

Ebrahim Hashemi
A note on p.q.Baer modules


Published: 
August 30, 2006 
Keywords: 
QuasiBaer modules, αcompatible modules, quasiArmendariz modules 
Subject: 
16D80, 16S36 


Abstract
A module M_{R} is called right principally quasiBaer
(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 M_{R} be
a αcompatible module and T=R[[x;α]]. It is shown
that M[[x]]_{T} is right p.q.Baer if and only if M_{R} is right
p.q.Baer and the right annihilator of any countablygenerated
submodule of M is generated by an idempotent. As a corollary we
obtain a generalization of a result of Liu, 2002.


Acknowledgements
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: 3163619995161
eb_hashemi@yahoo.com
eb_hashemi@shahroodut.ac.ir

