Reduced and p.q.-Baer modules

Baer M., Harmanci A.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.1, ss.267-275, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.11650/twjm/1500404651
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.267-275
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

In this paper, we study p.q.-Baer modules and some polynomial extensions of p.q.-Baer modules. In particular, we show: (1) For a reduced module M-R,M-R is ap.p.-moduleiff M-R is a p.q.-Baer module. (2) If M-R is an alpha-reduced module where alpha is an endomorphism of R, then M-R is a p.q.-Baer module iff M[x; alpha](R[x;alpha]) is a p.q.-Baer module. (3) For an arbitrary module M-R, M-R is a p.q.-Baer module if and only if M[x](R[x]) is a p.q.-Baer module.