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 left FPF ring is a ring R such that every finitely generated faithful left R-module generates
the category of left R-modules. It is shown that such rings split into R= A⊕ B, where A is a …

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 …

In this paper we will introduce a new class of rings which seem to deserve study. In the early
1940's Nakayama introduced and began the study of Frobenius and Quasi-Frobenius …

Theodore Faticoni in [4], did a thorough study of semiperfect FPF rings. Faticoni points out
that FPF rings are generalizations of injective rings. Our purpose here is to give an internal …

A ring R is called right FP-injective if every R-homomor-phism from a finitely generated
submodule of a free right R-module F into R extends to F. In this paper a ring R will be called …

In this paper we derive some of the structure of semiperfect FPF rings. A ring is right FPF if
every fg faithful right module is a generator. For semiperfect right and left FPF rings we show …

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 …

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 …

Tachikawa showed that a left perfect ring R is an injective cogenerator in the category of all
right R-modules iff there holds:(right FPF) every finitely generated faithful right module …