SOME PROPERTIES OF ®-g-SUPPLEMENTED MODULES

Abstract

In this work (R) - g-supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of (R) - g-supplemented modules is also (R) - g-supplemented. Let M be a distributive and (R) - g-supplemented R-module. Then every factor module and homomorphic image of M are (R) - g-supplemented. Let M be a (R) - g-supplemented R-module with SSP property. Then every direct summand of M is (R) - g-supplemented.