The ring $C(X,R)$ considered as a subring of the ring of all real-valued functions
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- by Lyle E. Pursell
- Proc. Amer. Math. Soc. 8 (1957), 820-821
- DOI: https://doi.org/10.1090/S0002-9939-1957-0087071-4
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References
- Frank W. Anderson, A lattice characterization of completely regular $G_\delta$-spaces, Proc. Amer. Math. Soc. 6 (1955), 757–765. MR 72451, DOI 10.1090/S0002-9939-1955-0072451-1 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.
- 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 66627, DOI 10.1090/S0002-9939-1954-0066627-6
- Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 26239, DOI 10.1090/S0002-9947-1948-0026239-9
- Lyle E. Pursell, An algebraic characterization of fixed ideals in certain function rings, Pacific J. Math. 5 (1955), 963–969. MR 83478, DOI 10.2140/pjm.1955.5.963
Bibliographic Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 820-821
- MSC: Primary 54.0X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0087071-4
- MathSciNet review: 0087071