Module classes and the lifting property

Kosan M. T.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.3, ss.395-404, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0907-120
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.395-404
  • Gazi Üniversitesi Adresli: Hayır

Özet

Let R be a ring. A collection of R-modules containing the zero module and closed under isomorphisms will be denoted by X. An R-module M is said to be X -lifting if for every X-submodule N of M there exists A <= N such that M = A circle plus B and N boolean AND B is small in B [11]. In the present paper, we consider the question: