In this note, we investigate the relationship between almost projective modules and
generalized projective modules. These concepts are useful for the study on the finite direct …

In this study, it is investigated the relation between almost projective modules and
generalized projective modules. These concepts are useful for the study on finite direct sum …

For the recently defined notion of strongly lifting modules, it has been shown that a direct
sum is not, in general, strongly lifting. In this paper we investigate the question: When are the …

Throughout this paper, T is a ring with identity and F is a unitary left module over T. This
paper study the relation between semihollow-lifting modules and semiprojective covers …

Throughout this paper, T is a ring with identity and F is a unitary left module over T. This
paper study the relation between semihollow-lifting modules and semiprojective covers …

Discrete (quasi-discrete) modules form an important class in module theory, they are studied
extensively by many authors. The class of lifting modules is obtained by considering only …

Let V be a submodule of a direct sum of some elements in U, and X be a submodule of a
direct sum of some elements in N, where U and N are families of R-modules. A U-free …

Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …

In this notion we consider a generalization of the notion of a projective modules, defined
using y-closed submodules. We show that for a module M= M1⊕ M2. If M2 is M1–y-closed …

A well known generalization of the extending concept is projection invariant-extending
property. In this trend, a module is called π-extending if every projection invariant …