On Dedekind modules

Sarac B., Smith P. F., Tiras Y.

COMMUNICATIONS IN ALGEBRA, cilt.35, sa.5, ss.1533-1538, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 5
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/00927870601169051
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1533-1538
  • Anahtar Kelimeler: Dedekind modules, invertible submodules, prime submodules, pi(pi) module, DENSE SUBMODULES
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this article the authors give the relation between a finitely-generated torsionfree Dedekind module O(M) over a domain R and prime submodules of the M-module M and the ring O(M). They also prove that M is a finitely-generated torsionfree Dedekind module over a domain R if and only if every semi-maximal submodule of R-module M is invertible.