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FPF Rings and Some Conjectures of C. Faith

Published online by Cambridge University Press:  20 November 2018

S. S. Page
S. S. Page*
Affiliation:
University of British Columbia, Vancouver, B.C. V6T 1W5
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Abstract

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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.

Keywords

16A 4816A 36Faithful generatorsFPFSingular idealself-injective rings
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 257 - 259
Copyright
Copyright © Canadian Mathematical Society 1983

References

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