SOME PROPERTIES OF ⊕−g−SUPPLEMENTED MODULES
Miskolc Mathematical Notes, cilt.24, sa.1, ss.335-341, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.18514/mmn.2023.3896
- Dergi Adı: Miskolc Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.335-341
- Anahtar Kelimeler: Essential Submodules, g−Supplemented Modules, Small Submodules, Supplemented Modules
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this work ⊕−g−supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕−g−supplemented modules is also ⊕−g−supplemented. Let M be a distributive and ⊕−g−supplemented R−module. Then every factor module and homomorphic image of M are ⊕−g−supplemented. Let M be a ⊕−g−supplemented R−module with SSP property. Then every direct summand of M is ⊕−g−supplemented.