A ring R is right finitely pseudo Frobenius (FPF) if every finitely generated faithful right jR-
module generates the category of right jR-modules. In [2], C. Faith has shown that a …

For each positive integer n, we temporarily say that a ring R is n-PF (^-pseudo-Frobenius) if
every faithful right i?-module generated by at most n elements is a generator for the category …

A ring R over which every finitely generated faithful right R-module is a generator of the
category mod-R of all right R-modules is called right FPF. FPF ring theory was initiated in …

A right FPF ring is one over which every finitely generated faithful right module is a
generator. The main purpose of the article is to givp the following cnaracterization of certain …

Let R be a ring with identity 1. We denote the category of unital right (respectively left) R-
modules by 'U&m). MR will signify ME YJl&M E $ tJl). We will be concerned with certain …

Introduction 0. In [18] it is shown that if an associative ring with unit is an FPF ring (finitely
generated faithful modules generate the category of modules), then the ring is non-singular …

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 …

(right) PF-rings. This class of rings and another related generalization of quasi-Frobenius
rings, the (two-sided) cogenerator rings, have been studied recently by a number of authors …

From [2J and [g, R is saidto be right GFC (right FPF) if every faithful cyclic (finitely generated)
right R-module generates the category of right R-modules. Strongly right bounded rings play …

Recall that a ring A is called quasi-Frobenius if it is artinian and self-injective on both sides
(see eg 17, 81,[2],[3] and [6]). In this note, following Yukimoto [ill, we call a ring A strongly …