A module \(M\) is called a lifting module if for every submodule \(N\) of \(M\), there exists a direct sum decomposition \(M=M_1\oplus M_2\) with \(M_1\subseteq N\) and \(N\cap M_2\) superfluous in \(M_2\). These modules are dual to the notion of extending (also called, CS) modules. A ring \(R\) is said to be of finite representation type if there exists a finite set of indecomposable right \(R\)-modules such that any other right \(R\)-module is isomorphic to a direct sum of copies of them and \(R\) is said to be of right local type if every indecomposable right \(R\)-module is local. The paper under review shows that the following are equivalent for a ring \(R\): (1) Every right \(R\)-module is a direct sum of lifting modules. (2) Every pure-injective right \(R\)-module is a direct sum of lifting modules. (3) \(R\) is of finite representation type and right local type. As a consequence of the above the authors show that every left and every right pure-injective \(R\)-module is a direct sum of lifting modules if and only if \(R\) is two-sided Artinian serial ring.