Every indecomposable module over a generalized uniserial ring is uniserial, hence local.
This motivates one to study rings R satisfying the condition (*): R is a right artinian ring such …

One of the fundamental problems in the theory of rings is to characterize the rings of
bounded representations type in terms of their structure. The problem has been solved for …

In this paper, we investigate some properties of rings whose simple (singular) right R−
modules are AP-injective. It is proved that an MERT ring R is von Neumann regular if and …

A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

A module M is said to satisfy the condition (℘*) if M is a direct sum of a projective module
and a quasi-continuous module. In an earlier paper, we described the structure of rings over …

The notion of a U-module was introduced and thoroughly investigated in as a strict and
simultaneous generalization of quasi-continuous, square-free and automorphism-invariant …

It is shown that every pure-injective right module over a ring R is a direct sum of lifting
modules if and only if R is a ring of finite representation type and right local type. In …

We prove that for a ring $ R $, the following are equivalent:(i) Every right $ R $-module is a
direct sum of extending modules, and (ii) $ R $ has finite type and right colocal type (ie …

A module LφO is called local (or hollow) if L= L1+ L2 implies L^= Lλ or L= L2. Especially a
noetherian module is local if and only if it has a unique maximal submodule. A module M is …

A unital left R-module RM is said to have property (S) if every surjective endomorphism of
RM is an automorphism, the ring R is called left (right) S-ring if every left (right) R-module …