Title of article :
Extensions of Baer and Principally Projective Modules
Author/Authors :
UNGOR, Burcu Ankara Üniversitesi - Department of Mathematics, Turkey , HALICIOGLU, Sait Ankara Üniversitesi - Department of Mathematics, Turkey , HARMANCI, Abdullah Hacettepe University - Department of Mathematics, Turkey
Abstract :
In this note, we investigate extensions of Baer and principally projective modules. Let R be anarbitrary ring with identity and M a right R-module. For an abelian module M, we show that M is Baer (resp. principally projective) if and only if the polynomial extension of M is Baer (resp.principally projective) if and only if the power series extension of M is Baer (resp. principallyprojective) if and only if the Laurent polynomial extension of M is Baer (resp. principallyprojective) if and only if the Laurent power series extension of M is Baer (resp. principallyprojective).
Keywords :
Abelian modules , Baer modules , principally projective modules.
Journal title :
Gazi University Journal Of Science
Journal title :
Gazi University Journal Of Science
