A ring R is right FPF if each faithful finitely generated right R module is a generator of MOD-
R. The purpose of this paper is to answer several questions posed by C. Faith and S. Page …

. A ring is called QF if it is two-sided artinian and two-sided selfinjective. The results of Kato
[9, Theorem 61 and Osofsky [12, Theorem 31 show that every two-sided selfinjective one …

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 …

A ring R is called right principally injective if every R-homomorphism from a principal right
ideal to R is left multiplication by an element of R. In this paper various properties of these …

A ring R is called right bounded if every essential right ideal contains a nonzero two-sided
ideal which is an essential ideal as a right ideal. If R is both right and left bounded, then we …

In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

It is proved that if every cyclic right R-module is torsionless and R is a left CS-ring then R is
semiperfect left continuous with soc (RR) essential in RR. As a consequence every right …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

ABSTRACT A principal right ideal of a ring is called uniquely generated if any two elements
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …