On invertible and dense submodules


Alkan M., Tiras Y.

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

  • Cilt numarası: 32 Konu: 10
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1081/agb-200027783
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.3911-3919

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.