… relatively small projective R-modules and every co-closed … lifting R-module and a
simple R-module is lifting, every simple R-module is small M-projective for any lift,ing R-module …

… extending and lifting modules while the subsequent Extending Modules [85] … lifting modules.
However, this involves more than a routine dualisation of the results on extending modules …

… discrete modules, namely the condition (D1). Here we … on and study principally lifting
modules, or modules with the condition (PD1). These modules are generalizations of lifting modules…

… J– lifting module if for every submodule N of M, there exists a … We define the notion of J–liftingi
modules as aigeneralization of lifting … for a direct sum of J–lifting modules to be J–lifting . …

… -lifting module, then M is a direct sum of cyclic modules. The connections between I -lifting
modules and dual Rickart modules … On the other hand, we have g 2 DS(Img) = eS. Thus, there …

… notion of a lifting of a module, but … on a A-module is always assumed to be elements in m.
This section is devoted to showing that every lifting of a liftable A, module M is a factor module …

… We have studied the Hiking property on a direct sum of completely indecomposable and
cyclic hollow modules over a ring R in [8]. In this note, we shall define the lifting property of …

… a lifting module if every submodule of M is small liftable. M is said to be aquasi-semiperfect
module if M isa lifting module and … We show our assertion by induction on the dimension. So, …

… -extending modules). As motivated by the above ideas, we call a module M a cofinitely lifting
module as a dual of EF-extending modules if for any cofinite submodule N of M, there exists …

… In this paper we study about cf-lifting modules and give some conditions for a cf-lifting module
to be a lifting module. … In this paper we generalize the lifting modules as cf-lifting modules. …