COFINITELY ESSENTIAL G-SUPPLEMENTED MODULES
MISKOLC MATHEMATICAL NOTES, cilt.23, sa.1, ss.381-387, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.18514/mmn.2022.3655
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.381-387
- Anahtar Kelimeler: cofinite submodules, essential submodules, g-small submodules, g-supplemented modules, SUBMODULES
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
LetM be an R-module. If every cofinite essential submodule ofM has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of a cofinitely eg-supplemented module are cofinitely eg-supplemented. Let M be a cofinitely eg-supplemented module. Then every M-generated R-module is cofinitely eg-supplemented.