This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

An R-module M is Artinian iff every non-empty set of submodules admits a minimal element.
The aim of this paper, is studied three cases. The first case is to provide general properties …

We call an R-module M generalized co-semisimple (GCO-module) if every singular simple R-
module is M-injective or M-projective. The generalized V-modules of Hirano [12] are special …

Some Results on Locally Noetherian Modules and Locally Ar- tinian Modules Page 1
KYUNGPOOK Math. J. 58(2018), 1-8 https://doi.org/10.5666/KMJ.2018.58.1.1 pISSN 1225-6951 …

It is shown that if $ M $ is a finitely presented completely pure injective object in a locally
finitely generated Grothendieck category ${\mathbf {C}} $ such that $ S={\operatorname …

Approximating rings with local units via automorphisms. Page 1 Approximating rings with
local units via automorphisms. ∗ G. Abrams and J. Haefner† Department of Mathematics …

A module M is called a V-module (cosemisimple module) if every simple module in σ [M] is
M-injective. A module M is an SSI-module if every semisimple module in σ [M] is M-injective …

For a module M for various quotient modules M/N of M, cardinality restrictions are placed on
the number of generators of submodules of M/N, and on the (infinite) Goldie dimensions of …

In this study, by using the concept of locally artinian supplemented modules, we have
obtained that weakly locally artinian supplemented modules as a proper generalization of …