Generalized-hollow liftingg modules

الملخص EN

Let R be any ring with identity, and let M be a unitary left R-module.

A submodule K of M is called generalized coessential submodule of N in M , if ( N) /K⊆〖Rad〗_g (M / K) .

A module M is called generalized hollow-〖lifting 〗_g module, if every submodule N of M with M/N is a G-hollow module, has a generalized coessential submodule of N in M that is a direct summand of M.

In this paper, we study some properties of this type of modules.