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Defeat of the FP 2 F Conjecture: Huckaba's Example

1992
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Proceedings of the American Mathematical Society
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A commutative ring R is FP2F (resp. FPF) provided that all finitely presented (resp. finitely generated) faithful modules generate the category mod-R of all R-modules. A conjecture of the author dating to the middle 1970s states that any FP2F ring R has FP-injective classical quotient ring Q = QciiR) ■ It was shown by the author (Injective quotient rings. II, Lecture Notes in Pure and Appl. Math., vol. 72, Dekker, New York, 1982, pp. 71-105) that FPF rings R have injective Q and by the author

doi:10.2307/2159286
fatcat:bsnejppxcvhwnm3wwqbkg22cgi