Cofinitely g-radical supplemented modules

Nebiyev C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.9, pp.7693-7696, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.6589
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: 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
  • Page Numbers: pp.7693-7696
  • Keywords: cofinitely g-supplemented modules, g-supplemented modules, small submodules, supplemented modules
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.