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On co-FPF modules

Published online by Cambridge University Press:  17 April 2009

Le Van Thuyet
Le Van Thuyet
Affiliation:
Department of Mathematics, Hue Teachers' Training College, 32 Le Loi St Hue, Vietnam
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 2 , October 1993 , pp. 257 - 264
Copyright
Copyright © Australian Mathematical Society 1993

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