On -ideals in

Author:
J. G. Horne

Journal:
Proc. Amer. Math. Soc. **9** (1958), 511-518

MSC:
Primary 46.00

DOI:
https://doi.org/10.1090/S0002-9939-1958-0102734-0

MathSciNet review:
0102734

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References | Similar Articles | Additional Information

**[1]**R. L. Blair,*Stone's topology for a binary relation*, Duke Math. J. vol. 22 (1955) pp. 271-280. MR**0070146 (16:1138b)****[2]**L. Gillman,*Rings with Hausdorff structure space*, Fund. Math. vol. 45 (1957) pp. 1-16. MR**0092773 (19:1156a)****[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]**-,*Rings of continuous functions in which every finitely generated ideal is principal*, Trans. Amer. Math. Soc. vol. 82 (1956) pp. 366-391. MR**0078980 (18:9d)****[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]**E. Hewitt,*Rings of real-valued continuous functions*I, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 45-99. MR**0026239 (10:126e)****[7]**J. G. Horne,*On the ideal structure of certain semirings and compactification of topological spaces*, to appear in Trans. Amer. Math. Soc. MR**0108714 (21:7429)****[8]**J. L. Kelley,*General topology*, New York, Van Nostrand, 1955. MR**0070144 (16:1136c)****[9]**N. H. McCoy,*Rings and ideals*, Mathematical Association of America, 1948. MR**0026038 (10:96b)****[10]**A. N. Milgram,*Multiplicative semigroups of continuous functions*, Duke Math. J. vol. 16 (1949) pp. 377-383. MR**0029476 (10:612a)**

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DOI:
https://doi.org/10.1090/S0002-9939-1958-0102734-0

Article copyright:
© Copyright 1958
American Mathematical Society