We prove that neat and coneat submodules of a module coincide when is a commutative
ring such that every maximal ideal is principal, extending a recent result by Fuchs. We …

In this paper, we introduce the notion of cofinitely injective modules and study their
properties over special types of rings. We define a right R‐module M to be cofinitely injective …

A module is said to be extending, if every closed (ie complement) submodule is a direct
summand. This property is usually denoted by (Q). It is, obviously, equivalent to the …

In this short paper, the homological functors are used to show that a simple module is flat if
and only if it is injective. It is used to give a characterization of Von Neumann regular ring …

For a commutative noetherian ring A, we compare the support of a complex of A-modules
with the support of its cohomology. This leads to a classification of all full subcategories of A …

We introduce and study CLESS-modules, which subsume two generalizations of extending
modules due to PF Smith and A. Tercan. A module M will be called a CLESS-module if every …

We generalise the concept of catenary rings to modules. We call an A-module M catenary if
for each pair of prime submodules K and L of M with K⊂ L all saturated chains of prime …

MODULES WITH DEDEKIND FINITE ENDOMORPHISM RINGS A unital ring R is called
Dedekind (or directly, or von Neumann) finite if ba = Page 1 MATHEMATICA, Tome ?? (??), No …

TOTALLY COFINITELY SUPPLEMENTED MODULES Gökhan Bilhan 1. Introduction
Throughout R will denote an associative ring with identit Page 1 International Electronic …

It is proved that a module M over a commutative noetherian ring R is injective if Ext _ R^ i
((R/\mathfrak p) _\mathfrak p, M)= 0 Ext R i ((R/p) p, M)= 0 holds for every i\geqslant 1 i⩾ 1 …