فهرست نشریات علمی دسترسی آزاد ایران

A module $M$ is called a $CLS$-module if every ${S}$-closed submodule of $M$  is a direct summand of $M$ [9]. We give a characterization for $CLS$-modules and obtain a sufficient condition for $CLS$-submodules of a $CLS$-module. Also, we characterize the splitting property in terms of  $UT$-modules and the $S$-closure of submodules.