Extensions of Baer and Principally Projective Modules


ÜNGÖR B., HALICIOĞLU S., Harmanci A.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.25, ss.863-867, 2012 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 4
  • Basım Tarihi: 2012
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Sayfa Sayıları: ss.863-867

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).