COFINITELY ESSENTIAL G-SUPPLEMENTED MODULES

NEBIYEV C. E. L. I. L., OKTEN H. A. S. A. N. H. U. S. E. Y. I. N.

MISKOLC MATHEMATICAL NOTES, vol.23, no.1, pp.381-387, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.18514/mmn.2022.3655
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.381-387
  • Keywords: cofinite submodules, essential submodules, g-small submodules, g-supplemented modules, SUBMODULES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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