essential-small fully stable modules

We will add new types of modules over a ring $mathfrak{r}$ called $mathit{g}-$ small completely stable module and $mathit{g}-$ small duo module, assuming $mathfrak{r}$ is a ring with identity and $mathcal{m}$ is a unitary left $mathfrak{r}$-module. we also present the $mathit{g}-$ small dual stable module, which is a duality. we show that our new ideas have characterization and a few properties.