Ukrainian Mathematical Journal, cilt.70, sa.7, ss.1042-1051, 2018 (SCI-Expanded)
A module M is called a principal Goldie*-lifting if, for every proper cyclic submodule X of M, there is a direct summand D of M such that Xβ*D. We focus our attention on principally Goldie*-lifting modules as a generalization of lifting modules. Various properties of these modules are presented.