Extensions of Baer and Principally Projective Modules

Authors : Sait HALİCİOGLU, Burcu UNGOR, Abdullah HARMANCI

Pages : 863-867

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Publication Date : 2012-02-25

Article Type : Research Paper

Abstract :In this note, we investigate extensions of Baer and principally projective modules. Let R be an arbitrary ring with identity and M a right R-module. For an abelian module M, we show that M is Baer insert ignore into journalissuearticles values(resp. principally projective); if and only if the polynomial extension of M is Baer insert ignore into journalissuearticles values(resp. principally projective); if and only if the power series extension of M is Baer insert ignore into journalissuearticles values(resp. principally projective); if and only if the Laurent polynomial extension of M is Baer insert ignore into journalissuearticles values(resp. principally projective); if and only if the Laurent power series extension of M is Baer insert ignore into journalissuearticles values(resp. principally projective);. 
Keywords : abelian modules, Baer modules, principally projective modules