⊕-G Supplemented Modules

Abstract

In this work circle plus-g-radical supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of circle plus-g-radical supplemented modules is also circle plus-g-radical supplemented. Let M be a circle plus-g-radical supplemented R-module. If Rad(g)(M) <<(g) M, then M is circle plus-g-supplemented. If Rad(g)(M) << M, then M is circle plus-supplemented.