• [1] F. W. Anderson, A lattice characterization of completely regular spaces, Proc. Amer. Math. Soc. vol. 6 (1955) pp. 757-765. MR 0072451 (17:287a)
• [2] I. Gelfand and A. N. Kolmogoroff, On rings of continuous functions on topological spaces, C.R. (Doklady) Acad. Sci. URSS vol. 22 (1939) pp. 11-15.
• [3] L. Gillman, M. Henriksen, and M. Jerison, On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions, Proc. Amer. Math. Soc vol. 5 (1954) pp. 447-455. MR 0066627 (16:607h)
• [4] L. J. Heider, Directed limits on rings of continuous functions, Duke Math. J. vol. 23 (1956) pp. 293-296. MR 0077106 (17:990d)
• [5] M. Henriksen, On the equivalence of the ring, lattice and semigroup of continuous functions, Proc. Amer. Math. Soc. vol. 7 (1956) pp. 959-960. MR 0082490 (18:559a)
• [6] E. Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 45-99. MR 0026239 (10:126e)
• [7] I. Kaplansky, Lattices of continuous functions, Bull. Amer. Math. Soc. vol 53 (1947) pp. 617-623. MR 0020715 (8:587e)
• [8] A. N. Milgram, Multiplicative semigroups of continuous functions, Duke Math. J. vol. 16 (1949) pp. 377-383. MR 0029476 (10:612a)
• [9] R. Pierce, Coverings of a topological space, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 281-289. MR 0070149 (16:1138e)
• [10] L. E. Pursell, An algebraic characterization of fixed ideals in certain function rings, Pacific J. Math. Supplement II (1955) pp. 963-971. MR 0083478 (18:714e)
• [11] T. Shirota, A generalization of a theorem of I. Kaplansky, Osaka Mathematical Journal vol. 4 (1952) pp. 121-132. MR 0052760 (14:669b)
• [12] M. H. Stone, Applications of the theory of Boolean rings in general topology, Trans. Amer. Math. Soc. vol. 41 (1937) pp. 375-481. MR 1501905

Bibliography

[1]

F. W. Anderson, A lattice characterization of completely regular spaces, Proc. Amer. Math. Soc. vol. 6 (1955) pp. 757-765. MR 0072451 (17:287a)

[2]

I. Gelfand and A. N. Kolmogoroff, On rings of continuous functions on topological spaces, C.R. (Doklady) Acad. Sci. URSS vol. 22 (1939) pp. 11-15.

[3]

L. Gillman, M. Henriksen, and M. Jerison, On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions, Proc. Amer. Math. Soc vol. 5 (1954) pp. 447-455. MR 0066627 (16:607h)

[4]

L. J. Heider, Directed limits on rings of continuous functions, Duke Math. J. vol. 23 (1956) pp. 293-296. MR 0077106 (17:990d)

[5]

M. Henriksen, On the equivalence of the ring, lattice and semigroup of continuous functions, Proc. Amer. Math. Soc. vol. 7 (1956) pp. 959-960. MR 0082490 (18:559a)

[6]

E. Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 45-99. MR 0026239 (10:126e)

[7]

I. Kaplansky, Lattices of continuous functions, Bull. Amer. Math. Soc. vol 53 (1947) pp. 617-623. MR 0020715 (8:587e)

[8]

A. N. Milgram, Multiplicative semigroups of continuous functions, Duke Math. J. vol. 16 (1949) pp. 377-383. MR 0029476 (10:612a)

[9]

R. Pierce, Coverings of a topological space, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 281-289. MR 0070149 (16:1138e)

[10]

L. E. Pursell, An algebraic characterization of fixed ideals in certain function rings, Pacific J. Math. Supplement II (1955) pp. 963-971. MR 0083478 (18:714e)

[11]

T. Shirota, A generalization of a theorem of I. Kaplansky, Osaka Mathematical Journal vol. 4 (1952) pp. 121-132. MR 0052760 (14:669b)

[12]

M. H. Stone, Applications of the theory of Boolean rings in general topology, Trans. Amer. Math. Soc. vol. 41 (1937) pp. 375-481. MR 1501905