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On the maximal ring of quotients of $C\left( X \right)$

1966
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Bulletin of the American Mathematical Society
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1. Let QiX) denote the maximal ring of quotients (in the sense of Johnson [4] and Utumi [5] ) of the ring C(X) of continuous realvalued functions on the completely regular Hausdorff space X, This ring has been studied by Fine, Gillman, and Lambek [l] and realized by them as the direct limit of the subrings C(V), Va, dense open subset of X (i.e., the union of these C(F)'s, modulo the obvious equivalence relation). From this representation of Q(X), it follows that if X and F have homeomorphic

doi:10.1090/s0002-9904-1966-11585-9
fatcat:xdkoj5lnmbg6ta2odge6er2w4u