Generalized Radical lifting modules

الملخص EN

In this paper we introduce G-Rad-lifting module as aproper generalization of lifting module, some properties of this type of modules are investigated.

We prove that if M is G-Rad- lifting and , then , and are G-Rad- lifting, hence we Conclude the direct summand of G-Rad- lifting is also G-Rad- lifting.

Also we prove that if M is a duo module with and are G- Rad- lifting then M is G-Rad- lifting.