ON GOLDIE*-SUPPLEMENTED MODULES

Nebiyev C., Sokmez N.

Miskolc Mathematical Notes, cilt.24, sa.1, ss.325-334, 2023 (SCI-Expanded) identifier

  • 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.