a generalization of $oplus$-cofinitely supplemented modules

‎we say that a module $m$ is a emph{cms-module} if‎, ‎for every cofinite submodule $n$ of $m$‎, ‎there exist submodules $k$ and $k^{'}$ of $m$ such that $k$ is a supplement of $n$‎, ‎and $k$‎, ‎$k^{'}$ are mutual supplements in $m$‎. ‎in this article‎, ‎the various properties of cms-modules are given as a generalization of $oplus$-cofinitely supplemented modules‎. ‎in particular‎, ‎we prove that a $pi$-projective module $m$ is a cms-module if and only if $m$ is $oplus$-cofinitely supplemented‎. ‎finally‎, ‎we show that every free $r$-module is a cms-module if and only if $r$ is semiperfect.