On finitely pseudo-Frobenius rings (Q1191037)

An associative ring \(R\) with identity is called right FPF (resp. right GFC), if every finitely generated (resp. cyclic) faithful right \(R\)- module is a generator of the category mod-\(R\). The author gives a characterization of right FPF rings which generalizes a result of \textit{S. Kobayashi} [Osaka J. Math. 22, 787-795 (1985; Zbl 0582.16007)]. Moreover it is shown that every right GFC ring \(R\) is essentially bounded.