SOME PROPERTIES OF ⊕−g−SUPPLEMENTED MODULES

Nebiyev C., Okten H. H.

Miskolc Mathematical Notes, vol.24, no.1, pp.335-341, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.18514/mmn.2023.3896
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.335-341
  • Keywords: Essential Submodules, g−Supplemented Modules, Small Submodules, Supplemented Modules
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this work ⊕−g−supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕−g−supplemented modules is also ⊕−g−supplemented. Let M be a distributive and ⊕−g−supplemented R−module. Then every factor module and homomorphic image of M are ⊕−g−supplemented. Let M be a ⊕−g−supplemented R−module with SSP property. Then every direct summand of M is ⊕−g−supplemented.