Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

Classes of modules with given properties (like being closed under direct sums and factor
modules) play an important part in various aspects of Module Theory. Most of these classes …

In the literature there are some links between the notions of directsummands, purity and
projectivity. In this paper, we study these links among the notions but relative to an arbitrary …

As a generalization to the concept of projective modules, we introduce the concept of
approximately projective modules. We also give characterization of this concept and discuss …