For a left uniserial ring R, Nicholson and Yousif proved that R is right p-injective if and only if
J (R)= Z [subr](R). Later on, Puninski, Wisbauer and Yousif characterized right p-injectivity …

A module M is⊕‐supplemented if every submodule of M has a supplement which is a direct
summand of M. In this paper, we show that a quotient of a⊕‐supplemented module is not in …

An A-module M is catenary if for each pair of prime submodules K and L of M with $ K
{\subset} L $ all saturated chains of prime submodules of M from K to L have a common finite …

It is well known that over a left Notherian ring any direct sum of injecive modules is again
injective, and every injective module is a direct sum of indecomposable modules. Faith [6] …

A module M is called a simple continuous module if it satisfies the conditions (min-C_1) and
(min-C_2). A module M is called singular simple-direct-injective if for any singular simple …

In this study, we introduce the concepts of S-prime submodules and S-torsion-free modules,
which are generalizations of prime submodules and torsion-free modules. Suppose S⊆ R is …

We investigate the uniseriality of uniform injective modules over serial rings. Let R be an
arbitrary ring and fix a decomposition, of the identity, 1= e 1+ e 2+⋯+ en into orthogonal …

If R is a commutative ring with identity, then the radical of a primary ideal of R is a prime
ideal of R. We will try to study and generalize this property to modules. It is proved that if one …

The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …