On invertible and dense submodules

ALKAN M., Tıraş Y.

COMMUNICATIONS IN ALGEBRA, cilt.32, sa.10, ss.3911-3919, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 10
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1081/agb-200027783
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3911-3919
  • Anahtar Kelimeler: invertible submodules, dense submodules, projective submodules, locally free submodules, Dedekind domain, MULTIPLICATION MODULES
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, the authors give a partial characterization of invertible, dense and projective submodules. In the final section, they give the equivalent conditions to be invertible, dense and projective submodules for a given an R-module M. They also provide conditions under which a given ring R is a Dedekind domain if and only if every non zero submodule of an R-module is locally free.