MISKOLC MATHEMATICAL NOTES, vol.22, no.2, pp.799-805, 2021 (SCI-Expanded)
Article / Article
MISKOLC MATHEMATICAL NOTES
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
essential submodules, g-small submodules, generalized radical, g-supplemented mod-ules
Ondokuz Mayıs University Affiliated:
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.