• [1] N. Bourbaki, Topologie générale, Actualités Scientifiques et Industrielles, no. 1196, Paris, 1953.
• [2] Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, http://dx.doi.org/10.2307/1968839
• [3] Leonard Gillman and Melvin Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. 77 (1954), 340–362. MR 0063646 (16,156g), http://dx.doi.org/10.1090/S0002-9947-1954-0063646-5
• [4] Leonard Gillman and Melvin Henriksen, Some remarks about elementary divisor rings, Trans. Amer. Math. Soc. 82 (1956), 362–365. MR 0078979 (18,9c), http://dx.doi.org/10.1090/S0002-9947-1956-0078979-8
• [5] 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. 5 (1954), 447–455. MR 0066627 (16,607h), http://dx.doi.org/10.1090/S0002-9939-1954-0066627-6
• [6] Olaf Helmer, The elementary divisor theorem for certain rings without chain condition, Bull. Amer. Math. Soc. 49 (1943), 225–236. MR 0007744 (4,185d), http://dx.doi.org/10.1090/S0002-9904-1943-07886-X
• [7] Melvin Henriksen, On the prime ideals of the ring of entire functions, Pacific J. Math. 3 (1953), 711–720. MR 0059479 (15,537c)
• [8] Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 0026239 (10,126e), http://dx.doi.org/10.1090/S0002-9947-1948-0026239-9
• [9] W. Hurewicz and H. Wallman, Dimension theory, Princeton, 1948.
• [10] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144 (16,1136c)
• [11] Neal H. McCoy, Rings and ideals, Carus Monograph Series, no. 8, The Open Court Publishing Company, LaSalle, Ill., 1948. MR 0026038 (10,96b)
• [12] Hidegorô Nakano, Über das System aller stetigen Funktionen auf einem topologischen Raum, Proc. Imp. Acad. Tokyo 17 (1941), 308–310 (German). MR 0014173 (7,249f)
• [13] Harry Pollard, The Theory of Algebraic Numbers, Carus Monograph Series, no. 9, The Mathematical Association of America, Buffalo, N. Y., 1950. MR 0037319 (12,243g)
• [14] A. H. Stone, Incidence relations in unicoherent spaces, Trans. Amer. Math. Soc. 65 (1949), 427–447. MR 0030743 (11,44g), http://dx.doi.org/10.1090/S0002-9947-1949-0030743-8
• [15] M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, http://dx.doi.org/10.1090/S0002-9947-1937-1501905-7
• [16] M. H. Stone, A general theory of spectra. I, Proc. Nat. Acad. Sci. U. S. A. 26 (1940), 280–283. MR 0002023 (1,338e)
• [17] M. H. Stone, Boundedness properties in function-lattices, Canadian J. Math. 1 (1949), 176–186. MR 0029091 (10,546a)
• [18] B. L. van der Waerden, Moderne Algebra, Berlin, 1940.

Bibliography

[1]

N. Bourbaki, Topologie générale, Actualités Scientifiques et Industrielles, no. 1196, Paris, 1953.

[2]

E. Čech, On bicompact spaces, Ann. of Math. vol. 38 (1937) pp. 823-844. MR 1503374

[3]

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

[4]

-, Some remarks about elementary divisor rings, Trans. Amer. Math. Soc. vol. 82 (1956) pp. 364-367. MR 0078979 (18:9c)

[5]

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)

[6]

O. Helmer, The elementary divisor theorem for certain rings without chain condition, Bull. Amer. Math. Soc. vol. 49 (1943) pp. 225-236. MR 0007744 (4:185d)

[7]

M. Henriksen, On the prime ideals of the ring of entire functions, Pacific Journal of Mathematics vol. 3 (1953) pp. 711-720. MR 0059479 (15:537c)

[8]

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

[9]

W. Hurewicz and H. Wallman, Dimension theory, Princeton, 1948.

[10]

J. L. Kelley, General topology, New York, Van Nostrand, 1955. MR 0070144 (16:1136c)

[11]

N. H. McCoy, Rings and ideals, Mathematical Association of America, 1948. MR 0026038 (10:96b)

[12]

H. Nakano, Über das System aller stetigen Funktionen auf einem topologische Raum, Proceedings of the Imperial Academy (Tokyo) vol. 17 (1941) pp. 308-310. MR 0014173 (7:249f)

[13]

H. Pollard, The theory of algebraic numbers, Mathematical Association of America, 1950. MR 0037319 (12:243g)

[14]

A. H. Stone, Incidence relations in unicoherent spaces, Trans. Amer. Math. Soc. vol. 65 (1949) pp. 427-447. MR 0030743 (11:44g)

[15]

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

[16]

-, A general theory of spectra. I, Proc. Nat. Acad. Sci. U.S.A. vol. 26 (1940) pp. 280-283. MR 0002023 (1:338e)

[17]

-, Boundedness properties in function lattices, Canadian Journal of Mathematics vol. 1 (1949) pp. 176-186. MR 0029091 (10:546a)

[18]

B. L. van der Waerden, Moderne Algebra, Berlin, 1940.