In this paper, we provide the basic properties of (semi) simple hypermodules. We show that
if a hypermodule M is simple, then (E nd (M),·) is a group, where E nd (M) is the set of all …

A ring R is called a right C-injective ring if every homomorphism from a closed right ideal of
R to RR can be extended to one from RR to RR. It is clear that a right CS ring must be right C …

In a recent paper of Holston, López-Permouth, Mastromatteo and Simental-Rodriguez, a ring
R is defined to have no subprojective middle class if the subprojectivity domain of any R …

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 …