Cofinitely weak generalized \delta-supplemented modules

We will study modules whose cofinite submodules have weak generalized-\delta-supplements.  We attempt to investigate some properties of cofinitely weak generalized \delta-supplemented modules.  We will prove for a module M and a semi-\delta-hollow submodule N of M that, M is cofinitely weak generalized \delta-supplemented if and only if \frac{M}{N} is cofinitely weak generalized \delta-supplemented.  Also we show that any M-generated module is cofinitely weak generalized \delta-supplemented module, where M is cofinitely weak generalized \delta-supplemented.  We obtain some other results about this kind of modules.We will study modules whose cofinite submodules have weak generalized-\delta-supplements.  We attempt to investigate some properties of cofinitely weak generalized \delta-supplemented modules.  We will prove for a module M and a semi-\delta-hollow submodule N of M that, M is cofinitely weak generalized \delta-supplemented if and only if \frac{M}{N} is cofinitely weak generalized \delta-supplemented.  Also we show that any M-generated module is cofinitely weak generalized \delta-supplemented module, where M is cofinitely weak generalized \delta-supplemented.  We obtain some other results about this kind of modules.