A CHARACTERIZATION OF GOLDIE EXTENDING MODULES OVER DEDEKIND DOMAINS
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.10, sa.6, ss.1291-1299, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 6
- Basım Tarihi: 2011
- Doi Numarası: 10.1142/s0219498811005178
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1291-1299
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we characterize G-extending (Goldie extending) modules over Dedekind domains and we use the G-extending condition to characterize the modules over a principal ideal domain whose pure submodules are direct summands. Moreover, we show that if R is a principal ideal domain, then the class of G-extending modules is closed under direct summands and that if R is a Dedekind domain, then the class of G-extending torsion modules is closed under finite direct sums.