Quotient Rings of Rings Generated by Faithful Cyclic Modules
Quotient Rings of Rings Generated by Faithful Cyclic Modules
A ring $R$ is said to be generated by faithful cyclics (right finitely pseudo-Frobenius), denoted by right GFC (FPF), if every faithful cyclic (finitely generated) right $R$-module generates the category of right $R$-modules. A fundamental result in FPF ring theory, due to S. Page, is that if $R$ is a …