ON GOLDIE*-SUPPLEMENTED MODULES
Miskolc Mathematical Notes, cilt.24, sa.1, ss.325-334, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.18514/mmn.2023.3244
- Dergi Adı: Miskolc Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.325-334
- Anahtar Kelimeler: radical, radical supplement submodules, small submodules, supplement submodules
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
Let M be a left R-module. X,Y of M are β* equivalent, Xβ*Y, if and only if (Formula Presented) is small in (Formula Presented) and (Formula Presented) A module M is called G*-supplemented if for every submodule X of M there is a supplement submodule S of M such that Xβ*S. In this work some new properties of β* are given and G*-supplemented modules are studied. Also completely G*-supplemented modules and G*-radical supplemented modules are defined.