Let M and N be modules over a ring R. The purpose of this paper is to study modules M, N
for which the bi-module [M, N] is regular or pi. It is proved that the bi-module [M, N] is regular …

Let R be a ring and M a right R‐module with S= End (MR). The module M is called almost
principally quasi‐injective (or APQ‐injective for short) if, for any m∈ M, there exists an S …

Let be a unitary left R-module on associative ring with identity. A submodule of is called-
annihilator small if, where is a submodule of, implies that ann ()= 0, where ann () indicates …

Let M and N be modules. Then N is said to be direct M-injective if every submodule of M that
is isomorphic to a direct summand of N is a direct summand of M. Also, we call N an M …

In this paper we extend the notion of FP-injective modules to that of complexes and
characterize such complexes. We show that some characterizations similar to those for …

In this paper we review and study $ R $-modules $ M $ for which $ S= End_R (M) $ is
commutative. For this, we define the concept of center of modules which is a natural …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

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] …