A module $M$ is called a uniform extending if every uniform submodule of $M$ is
essential in a direct summand of $M$. A module $M$ is called a countably $\sum$− uniform extending
if $M^{(NƯ$) is uniform extending. In this paper, we discuss the question of when a countably $\sum$−
uniform extending module is $\sum$− quasi - injective? We also characterize of rings by the class
of countably $\sum$− uniform extending modules.
