Cofinitely g-radical supplemented modules

Nebiyev C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.9, ss.7693-7696, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6589
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7693-7696
  • Anahtar Kelimeler: cofinitely g-supplemented modules, g-supplemented modules, small submodules, supplemented modules
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, all rings have unity and all modules are unital left modules. Let M be an R-module. If every cofinite submodule of M has a g-radical supplement in M, then M is called a cofinitely g-radical supplemented module. In this work, some properties of cofinitely g-radical supplemented modules are investigated. It is clear that every cofinitely g-supplemented module is cofinitely g-radical supplemented. Hence, cofinitely g-radical supplemented modules are more general than cofinitely g-supplemented modules.