+-ESSENTIAL SUPPLEMENTED MODULES

Abstract

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