Some Properties of ⊕-g-Supplemented Modules

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.