A CHARACTERIZATION OF GOLDIE EXTENDING MODULES OVER DEDEKIND DOMAINS

AKALAN E., Birkenmeier G. F., TERCAN A.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.10, sa.6, ss.1291-1299, 2011 (SCI-Expanded) identifier identifier

  • 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.