Module classes and the lifting property
TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.3, ss.395-404, 2011 (SCI-Expanded, Scopus, TRDizin)
- 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: