Closed cofinitely weak supplemented modules

We say that a module M is a closed conitely weak supplemented module or briey ccws-module if, for every closed conite submodule N of M, N has a weak supplement in M. In this article, the various properties of ccws-modules are given as a generalization of conitely weak supplemented modules. In particular, we prove that a left V-ring R is ccws if and only if R is an extending ring. Finally, we show that the notion of conitely weak supplemented modules and the notion of ccws-modules are equivalent under some special conditions.