On hollow-lifting modules. (Q2455373)

Let \(R\) be an associative ring with identity element. A right \(R\)-module \(M\) is called `hollow-lifting' if every submodule \(N\) of \(M\) such that \(M/N\) is hollow has a coessential submodule that is a direct summand of \(M\). The authors prove that every amply supplemented hollow-lifting module with finite hollow dimension is lifting. It is also shown that a direct sum of two relatively projective hollow-lifting modules is hollow-lifting.