On quasi-Armendariz modules

Baser M., Kosan M. T.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.3, ss.573-582, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.11650/twjm/1500602422
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.573-582
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce the concept of a (alpha-) quasi-Armendariz module, principally quasi-Baer module and syudy its some properties. In particular, we show: (1) For an alpha-quasi-Armendariz module M-R, M-R is a principally quasi-Baer module if and only if M[x; alpha](R[x; alpha]) is a principally quasi-Baer module. (2) A necessary and sufficient condition for a trivial extensions to be quasi-Armendariz is obtained. Consequently, new families of quasi-Armendariz rings are presented.