On goldie extending modules

الملخص EN

Let R be an associative ring with identity and let M be a unital left R- module.

E.

Akalan, G.

Birkenmeier and A.

Tercan introduced the following concept.

An Rmodule M is called a ?-extending module if for each submodule X of M , there exists a direct summand D of M such that X D is essential in both X and D.

The main purpose of this work is to develop the ?-extending modules.