A generalization of FPF rings

GF Birkenmeier - Communications in Algebra, 1989 - Taylor & Francis
Lntroduction It is easily seen that if an R-module is a generator in the category mod-R, then it
is faithful. However, the converse is not necessarily true. Naturally one is led to ask for which …

Split-null extensions of strongly right bounded rings

GF Birkenmeier - Publicacions Matemàtiques, 1990 - JSTOR
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero
ideal. In this paper strongly right bounded rings are characterized, conditions are …

How injective is a semiperfect fpf ring?

V Camillo - Communications in algebra, 1989 - Taylor & Francis
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 …

FPF rings characterized by two-generated faithful modules

H Yoshimura - 1998 - projecteuclid.org
Azumaya [2], Osofsky [20] and Utumi [26] considered various properties of QF rings, eg, the
completely faithfulness (ie, generator) of modules, the injective cogenerator and Morita …

Finitely Pseudo-Frobenius Rings

H Yoshimura - International Symposium on Ring Theory, 2012 - Springer
Finitely Pseudo -Frobenius Rings Page 1 Finitely Pseudo -Frobenius Rings Hiroshi Yoshimura
Dedicated to Professor Yoshiki Kurata on his seventieth birthday Abstract We make a survey of …