On -ideals in

Author:
J. G. Horne

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

MSC:
Primary 46.00

MathSciNet review:
0102734

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**Robert L. Blair,*Stone’s topology for a binary relation*, Duke Math. J.**22**(1955), 271–280. MR**0070146****[2]**L. Gillman,*Rings with Hausdorff structure space*, Fund. Math.**45**(1957), 1–16. MR**0092773****[3]**Leonard Gillman and Melvin Henriksen,*Concerning rings of continuous functions*, Trans. Amer. Math. Soc.**77**(1954), 340–362. MR**0063646**, 10.1090/S0002-9947-1954-0063646-5**[4]**Leonard Gillman and Melvin Henriksen,*Rings of continuous functions in which every finitely generated ideal is principal*, Trans. Amer. Math. Soc.**82**(1956), 366–391. MR**0078980**, 10.1090/S0002-9947-1956-0078980-4**[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**, 10.1090/S0002-9939-1954-0066627-6**[6]**Edwin Hewitt,*Rings of real-valued continuous functions. I*, Trans. Amer. Math. Soc.**64**(1948), 45–99. MR**0026239**, 10.1090/S0002-9947-1948-0026239-9**[7]**J. G. Horne Jr.,*On the ideal structure of certain semirings and compactification of topological spaces*, Trans. Amer. Math. Soc.**90**(1959), 408–430. MR**0108714**, 10.1090/S0002-9947-1959-0108714-9**[8]**John L. Kelley,*General topology*, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR**0070144****[9]**Neal H. McCoy,*Rings and ideals*, Carus Monograph Series, no. 8, The Open Court Publishing Company, LaSalle, Ill., 1948. MR**0026038****[10]**A. N. Milgram,*Multiplicative semigroups of continuous functions*, Duke Math. J.**16**(1940), 377–383. MR**0029476**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
46.00

Retrieve articles in all journals with MSC: 46.00

Additional Information

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

Article copyright:
© Copyright 1958
American Mathematical Society