On Finitely G-Supplemented Modules

Abstract

In this work, some properties of finitely g-supplemented modules are investigated. Let M be a finitely g-supplemented R - module and N be a finitely generated or small submodule of M . Then M/N is finitely g-supplemented. Let f : M --> N be an R - module epimomorphism with small kernel. If M is finitely g-supplemented, then N is also finitely g-supplemented. Let M be a finitely g-supplemented module, RadgM <= U <= M and U be finitely generated. Then U/RadgM is a direct summand of M/RadgM.