Cofinitely g-radical supplemented modules

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. © 2020 John Wiley & Sons, Ltd.