ON CO-r-SUBMODULES AND CO-r-NOETHERIAN MODULES

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Tekir Ü., Koç S., Çeken Güneş S., Leoreanu-Fotea V.

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.