We show that if $ M $ is a Utumi module, in particular if $ M $ is quasi-continuous, then $ M=
Q\oplus K $, where $ Q $ is quasi-injective that is both a square-full as well as a dual-square …

A module M is called quasi δ-discrete if M is δ-lifting and M has (D3). We prove that if M is an
amply δ-supplemented quasi δ-discrete module such that every δ-supplement submodule is …

GENERALIZATIONS OF THE QUASI-INJECTIVE MODULE -Communications of the Korean
Mathematical Society Article Info. 1.Home 2.Article Info. Communications of the Korean …

A submodule N of a right R-module M is said to lie over a direct summand of M if, there is a
decomposition M= M 1⊕ M 2 with M 1⊆ N and N∩ M 2,↪ small M 2. In this paper, a right R …

Abstract In [5] and [6], we have introduced a couple of relative generalized epi-projectivities
and given several properties of these projectivities. In this paper, we consider relative …

In this note, we provide a generalization of a well-known result of module theory which
states that two injective modules are isomorphic when they are isomorphic to submodules of …

In this paper, we first introduce the concept of “factor-square-full” modules defined as
follows: For any proper submodule X of M, there exist a proper submodule Y of M with X⊆ Y …

Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes Mathematicae
Universitatis Carolinae Pavel Příhoda Add(U) of a uniserial module Commentationes …

‎ A module $ M $ is called FI-extending if every fully invariant submodule of $ M $ is essential
in a direct summand of $ M $‎.‎ It is not known whether a direct summand of an FI-extending …

In this paper, we define and study weakly distributive modules as a proper generalization of
distributive modules. We prove that, weakly distributive supplemented modules are amply …