Mathematische Annalen

, Volume 199, Issue 3, pp 97–114 | Cite as

Minimaln-prime ideal spaces

  • Neil Hindman
Article
Received:
  • 41 Downloads

Keywords

Ideal Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Curtis, Ph. C., Jr.: A note concerning certain product spaces. Archiv der Math.11, 50–52 (1960).Google Scholar
  2. 2.
    Comfort, W. W., Hindman, N., Negrepontis, S.:F-spaces and their product withP-spaces. Pacific Journal of Math.28, 489–502 (1969).Google Scholar
  3. 3.
    Comfort, W. W., Negrepontis, S.: The Stone Čech compactification and related topics. To appear.Google Scholar
  4. 4.
    Gillman, L., Henriksen, M.: Concerning rings of continuous functions. Trans. Amer. Math. Soc.77 (1954), 340–362.Google Scholar
  5. 5.
    —— —— Rings of continuous functions in which every finitely generated ideal is principle, Trans. Amer. Math. Soc.82, 366–391 (1956).Google Scholar
  6. 6.
    —— Jerison, M.: Rings of continuous functions. Princeton, New Jersey: D. Van Nostrand Company, Inc. 1960.Google Scholar
  7. 7.
    Henriksen, M., Jerison, M.: The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc.115, 110–130 (1965).Google Scholar
  8. 8.
    Hewitt, E.: A remark on density character. Bull. Amer. Math. Soc.52, 641–643 (1946).Google Scholar
  9. 9.
    Hindman, N.: On the existence ofc-points in βN∖N. Proc. Amer. Math. Soc.21, 277–280 (1969).Google Scholar
  10. 10.
    -- OnP-like spaces and their product withP-spaces. Thesis, Wesleyan University, 1969.Google Scholar
  11. 11.
    Kist, J.: Minimal prime ideals in commutative semigroups. Proc. London Math. Soc. (3)13, 31–50 (1963).Google Scholar
  12. 12.
    Marczewski, E.: Separabilite et multiplication cartesienne des espaces topologiques. Fundamenta Math.34, 127–144 (1947).Google Scholar
  13. 13.
    Pierce, R. S.: Modules over commutative regular rings. Mem Amer. Math. Soc. No. 70 (1967).Google Scholar
  14. 14.
    Pondiczery, E. S.: Power problems in abstract spaces. Duke Math. J.11, 835–837 (1944).Google Scholar
  15. 15.
    Ross, K. A., Stone, A. H.: Products of separable spaces. Amer. Math. Monthly71, 398–403 (1964).Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Neil Hindman
    • 1
  1. 1.Department of MathematicsCalifornia State College Los AngelesLos AngelesUSA

Personalised recommendations