Principally Goldie*-Lifting Modules
  A module M is called principally Goldie*-lifting if for every proper cyclic submodule X of M, there is a direct summand D of M such that $X\beta^*D$. In this paper, we focus on principally Goldie*-lifting modules as generalizations of lifting modules. Various properties of these modules are given. 
Ayse Tugba Guroglu and Elif Tugce Meric
math.RA