On co-FPF modules

A ring R is called right co-FPF if every finitely generated cofaithful right R-module is a generator in mod-R. This definition can be carried over from rings to modules. We say that a finitely generated projective distinguished right R-module P is a co-FPF module (quasi-co-FPF module) if every P-fin...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 1993-10, Vol.48 (2), p.257-264
Main Author: Van Thuyet, Le
Format: Article
Language:English
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Summary:A ring R is called right co-FPF if every finitely generated cofaithful right R-module is a generator in mod-R. This definition can be carried over from rings to modules. We say that a finitely generated projective distinguished right R-module P is a co-FPF module (quasi-co-FPF module) if every P-finitely generated module, which finitely cogenerates P, generates σ[P] (P, respectively). We shall prove a result about the relationship between a co-FPF module and its endomorphism ring, and apply it to study some co-FPF rings.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700015689