Fully stable modules

الملخص EN

Let R be a commutation ring with I and M is an R-module .

A submodule N of M is said to be a stable submodule if for each R- homomorphism θ : N -> M.

θ(N) < N The module M is said to be fully stable if every submodule of M is stable.

In this paper we study the properties of fully stable modules and we give various characterizations for them .