Author/Authors :
kamil, enas m. baghdad university - college of science - department of mathematics, Iraq , al- bahraany, bahar h. baghdad university - college of science - department of mathematics, Iraq
Abstract :
Let R be an associative ring with identity and let M be a unital left R- module. We introduced the following concept .An R- module M is called a Goldie lifting module (briefly 𝒢-lifting) if for every proper submoduleA of M, there exists a proper direct summand D of M such that D ≤ce A+D in M. The main purpose of this work is to define goldie lifting modules and we give examples and basic properties of 𝒢-lifting modules. Keywords: Goldie lifting modules.
