Extensions of Baer and principally projective modules

ÜNGÖR B., HALICIOĞLU S., Harmanci A.

Gazi University Journal of Science, cilt.25, sa.4, ss.863-867, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2012
  • Dergi Adı: Gazi University Journal of Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.863-867
  • Anahtar Kelimeler: Abelian modules, Baer modules, Principally projective modules
  • Ankara Üniversitesi Adresli: Evet

Özet

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).