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L. Gillman and M. Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 340-362. MR 0063646 (16:156g)

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M. Stone, Boundedness properties in function lattices, Canad. J. Math. vol. 1 (1949) pp. 176-186. MR 0029091 (10:546a)