ON FINITELY G-SUPPLEMENTED MODULES
MISKOLC MATHEMATICAL NOTES, cilt.25, sa.2, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.18514/mmn.2024.4409
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this work, some properties of finitely g-supplemented modules are investigated. Let M be a finitely g-supplemented R - module and N be a finitely generated or small submodule of M . Then M/N is finitely g-supplemented. Let f : M --> N be an R - module epimomorphism with small kernel. If M is finitely g-supplemented, then N is also finitely g-supplemented. Let M be a finitely g-supplemented module, RadgM <= U <= M and U be finitely generated. Then U/RadgM is a direct summand of M/RadgM.