In this paper, the structure of e-local modules and classes of modules via essentially small
are investigated. We show that the following conditions are equivalent for a module M:(1) M …

ABSTRACT A principal right ideal of a ring is called uniquely generated if any two elements
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …

Let A be a class of some right R‐modules that is closed under isomorphisms, and let M be a
right R‐module. Then M is called A‐D3 if, whenever N and K are direct summands of M with …

In this paper characterization of pseudo Mp-projective modules and quasi pseudo
principally projective modules are given and discussed the various properties of it. It is …

A module M is called pseudo semi-projective if, for all α, β∈ EndR (M) with Im (α)= Im (β),
there holds αEndR (M)= β EndR (M). In this paper, we study some properties of pseudo semi …

Under the impulse of an elementary result that characterizes the finite dimensional vector
spaces (a linear application is injective if, and only if it is surjective) and partial results which …

Module theoretic notion of annihilator-stable rings which was defined recently by Nicholson
[2] is defined and some characterizations of it studied. M is called kernel-stable module if …

A rightmodule M over a ring R is said to be ADSif, for every decomposition M= S⊕ T and
every complement T'of S, we have M= S⊕ T'. In this article, we study and provide several …