In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

We call a right module weakly neat-flat if is surjective for any epimorphism and any simple
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …

In a recent paper, Mao has studied min-pure injective modules to investigate the existence
of min-injective covers. A min-pure injective module is one that is injective relative only to …

Let R be a ring. A right R-module A is said to be C-flat if the kernel of any epimorphism B→ A
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …

Min-injective rings and min-injective modules has a substantial role in module-ring theory
and representations of algebras. Numerous characterizations of Quasi-Frobenius rings were …