The ring considered as a subring of the ring of all real-valued functions

Author:
Lyle E. Pursell

Journal:
Proc. Amer. Math. Soc. **8** (1957), 820-821

MSC:
Primary 54.0X

MathSciNet review:
0087071

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**Frank W. Anderson,*A lattice characterization of completely regular 𝐺_{𝛿}-spaces*, Proc. Amer. Math. Soc.**6**(1955), 757–765. MR**0072451**, 10.1090/S0002-9939-1955-0072451-1**[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.**5**(1954), 447–455. MR**0066627**, 10.1090/S0002-9939-1954-0066627-6**[4]**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**[5]**Lyle E. Pursell,*An algebraic characterization of fixed ideals in certain function rings*, Pacific J. Math.**5**(1955), 963–969. MR**0083478**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
54.0X

Retrieve articles in all journals with MSC: 54.0X

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1957-0087071-4

Article copyright:
© Copyright 1957
American Mathematical Society