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Localization in
finite-dimensional FPF rings
Theodore Gerard Faticoni |
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Vol. 134 (1988), No. 1, 79–99
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Abstract |
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The ring R is right FPF if each faithful, finitely generated right R-module is a generator of MOD-R. C. Faith has conjectured that a two sided FPF ring has a self-injective classical ring of quotients. We provide a partial answer to Faith’s conjecture by studying Ore localizations and cogeneration properties of right FPF rings R of finite right dimension. Many results from the literature on quotient rings of FPF rings are then reproven. |
Mathematical Subject Classification
Primary: 16A55, 16A55
Secondary: 16A34, 16A33, 16A08
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Milestones
Received: 18 November 1986
Revised: 5 May 1987
Published: 1 September 1988
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Authors |
| Theodore Gerard Faticoni | |
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