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Localization in finite-dimensional FPF rings

Localization in finite-dimensional FPF rings

The ring R is right FPF if each faithful, finitely generated right iΐ-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 …