ESSENTIAL G-RADICAL SUPPLEMENTED MODULES

Nebiyev C., Okten H. H.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.2, ss.799-805, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3661
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.799-805
  • Anahtar Kelimeler: essential submodules, g-small submodules, generalized radical, g-supplemented mod-ules
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an eg-radical supplemented module are eg-radical supplemented. Let M be an eg-radical supplemented module. Then every finitely M-generated R-module is eg-radical supplemented.