STRONGLY ®-g-RADICAL SUPPLEMENTED MODULES

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Oezdemir H. B., Nebiyev C.

MISKOLC MATHEMATICAL NOTES, cilt.24, sa.2, ss.981-987, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18514/mmn.2023.4029
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.981-987
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, strongly (R) - g-radical supplemented modules are defined and some properties of these modules are investigated. Every ring has unity and every module is unital left module in this work. It is proved that every direct summand of a strongly (R) - g-radical supplemented module is strongly (R) - g-radical supplemented. Let f : M -& RARR; N be an R-module epimorphism and Ker(f) be a direct summand of M. If M is strongly (R) - g-radical supplemented, then N is also strongly (R) - g-radical supplemented. Let M be a strongly (R) - g- radical supplemented R-module and K < M. If V is a g-radical supplement submodule in M for every g-radical supplement submodule V /K in M/K, then M/K is strongly (R) - g-radical supplemented.