Geodesic
FPF Rings and Some Conjectures of C. Faith
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 257-259

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A left FPF ring is a ring R such that every finitely generated faithful left R -module generates the category of left R-modules. It is shown that such rings split into R = A⊕B, where A is a two sided ideal, and A contains the left singular ideal of R as an essential submodule. If R is FPF on both sides B is two sided too, and R is the product of A and B. An example shows this is the best possible and that right FPF does not imply left FPF.
DOI : 10.4153/CMB-1983-040-8
Mots-clés : 16A 48, 16A 36, Faithful generators, FPF, Singular ideal, self-injective rings 
Page, S. S. FPF Rings and Some Conjectures of C. Faith. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 257-259. doi: 10.4153/CMB-1983-040-8
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     title = {FPF {Rings} and {Some} {Conjectures} of {C.} {Faith}},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-040-8/}
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