Let R be a ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

The modules which are isomorphic to their non-zero submodules are known as iso-
retractable. We characterize simple modules in terms of iso-retractable modules. We provide …

Let R be a commutative ring and let P be an NFG (non-finitely generated) projective R-
module. What conditions on R ensure that P is free or at least the direct sum of finitely …

In this paper, the notions of f-injective and f*-injective modules are introduced. Elementary
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …

In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …

Lomp [9] has studied finitely generated projective modules over semilocal rings. He
obtained the following: finitely generated projective modules over semilocal rings are …

Abstract Let $\mathcal {R} $ be a commutative ring with 1, and Let M be a (left) R-module. M
is said to be pointwise projective if for each epimorphism ${\alpha}:\mathcal {A}{\rightarrow} …

Let $ R $ be a ring and $ M $ a right $ R $-module. We call $ M $, coretractable relative to
$\overline {Z}(M) $(for short, $\overline {Z}(M) $-coretractable) provided that, for every proper …

Let R be a commutative ring with unity and let M be an R-module. In this paper we study
strongly (completely) hollow submodules and quasi-hollow submodules. We investigate the …

Throughout R is an associative ring with identity, and all modules are unitary. Recall that a
ring R is called right principally injective 1 or right P-injective for short if, every …