Right ue-rings (rings with the property of the title, ie, with the maximality of the right socle)
are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a …

We introduce the class of “right almost V-rings” which is properly between the classes of
right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R …

A ring R is called a V-ring, respectively SSI-ring, respectively QII-ring if simple, respectively
semisimple, respectively quasi-injective, right R-modules are injective. We show that R is …

IN the introduction to [4] Faith asserts that" a'good'theory of modules is one which
generalizes the basis theorem for Abelian groups". Let A be a finitely generated Abelian …

Introduction. A von Neumann regular ring A may be characterised by any one of the
following conditions:(a) every right (left) A-module is flat;(b) every right (left) A-module is p …

RIGHT HEREDITARY, RIGHT PERFECT RINGS ARE SEMIPRIMARY Page 1 RIGHT
HEREDITARY, RIGHT PERFECT RINGS ARE SEMIPRIMARY MARK L. TEPLY ABSTRACT. If …

Throughout this paper all rings will be associative with identity and modules will be unital
right modules. A ring R is called right CS-ring (or extending ring) if every right ideal I in R is …

It will be shown that a particular quotient ring of a ring $ R $ is a nontrivial $ V $-ring if $ R $
is a special kind of a right hereditary, right Noetherian ring. Another result states that all …

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 [5] PF Smith investigated those rings all of whose finitely-generated or cyclic modules
satisfy certain decomposition properties. For example he proved that every finitely …