Extensions of Baer and principally projective modules

ÜNGÖR B., HALICIOĞLU S., Harmanci A.

Gazi University Journal of Science, vol.25, no.4, pp.863-867, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 4
  • Publication Date: 2012
  • Journal Name: Gazi University Journal of Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.863-867
  • Keywords: Abelian modules, Baer modules, Principally projective modules
  • Ankara University Affiliated: Yes

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 (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. principally projective) if and only if the Laurent polynomial extension of M is Baer (resp. principally projective) if and only if the Laurent power series extension of M is Baer (resp. principally projective).