ON CO-r-SUBMODULES AND CO-r-NOETHERIAN MODULES
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.87, sa.4, ss.11-20, 2025 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 87 Sayı: 4
- Basım Tarihi: 2025
- Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.11-20
- Marmara Üniversitesi Adresli: Evet
Özet
In this paper, we investigate some properties and characterizations of co-r-submodules which is the dual notion of r-submodules. We prove that every nonzero submodule of a finitely generated module is a co-rsubmodule. We investigate when a submodule N of an R-module M contains a co-r-submodule. Also, we study the further properties of co-r-Noetherian modules as a generalization of Noetherian modules.