A GENERALIZATION OF g-SUPPLEMENTED MODULES
MISKOLC MATHEMATICAL NOTES, cilt.20, sa.1, ss.345-352, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.18514/mmn.2019.2586
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.345-352
- Anahtar Kelimeler: small submodules, radical, supplemented modules, radical (generalized) supplemented modules
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this work g-radical supplemented modules are defined which generalize g-supplemented modules. Some properties of g-radical supplemented modules are investigated. It is proved that the finite sum of g-radical supplemented modules is g-radical supplemented. It is also proved that every factor module and every homomorphic image of a g-radical supplemented module is g-radical supplemented. Let R be a ring. Then R-R is g-radical supplemented if and only if every finitely generated R-module is g-radical supplemented. In the end of this work, it is given two examples for g-radical supplemented modules separating with g-supplemented modules.