论文信息 - On co-FPF modules

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-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.

L. Thuyet

[1] L. Thuyet. On rings whose finitely presented cofaithful modules are generators , 1994 .

[2] C. Faith,et al. Classification of commutative FPF rings , 1990 .

[3] P. Menal,et al. On rings whose finitely generated faithful modules are generators , 1989 .

[4] S. Page. Fpf endomorphism rings with applications to qf-3 rings , 1986 .

[5] C. Faith,et al. FPF ring theory : faithful modules and generators of mod-R , 1984 .

[6] Robert W. Miller. Finitely generated projective modules and ${\rm TTF}$ classes. , 1976 .

[7] Carl Faith,et al. Algebra II: Ring Theory , 1976 .

[8] B. Huisgen‐Zimmermann. Endomorphism rings of self-generators , 1975 .

[9] Toyonori Kato. U-distinguished modules , 1973 .