Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2009.49.2.255
Title & Authors
On Quasi-Baer and p.q.-Baer Modules Basser, Muhittin; Harmanci, Abdullah;
For an endomorphism of R, in , a module is called -compatible if, for any and , ma = 0 iff = 0, which are a generalization of -reduced modules. We study on the relationship between the quasi-Baerness and p.q.-Baer property of a module MR and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series). As a consequence we obtain a generalization of  and some results in . In particular, we show: for an -compatible module (1) is p.q.-Baer module iff is p.q.-Baer module. (2) for an automorphism of R, is p.q.-Baer module iff is p.q.-Baer module.