Skip to main content
Log in

On a class of Φ-algebras with zero dimensional structure spaces

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. G. Birkhoff andR. S. Pierce, Lattice-ordered rings. An. Acad. Brasil Ci.28, 41–69 (1956).

    Google Scholar 

  2. B. Brainerd, On a class of lattice-ordered rings. Proc. Amer. Math. Soc.8, 673–683 (1957).

    Google Scholar 

  3. B. Brainerd, On a class of lattice-ordered rings II. Indagationes Math.19, 541–547 (1957).

    Google Scholar 

  4. B. Brainerd,F-rings of continuous functions. Canadian J. Math.11, 80–86 (1959).

    Google Scholar 

  5. L. Gillman andM. Henriksen, Rings of continuous functions in which every finitely-generated ideal is principal. Trans. Amer. Math. Soc.82, 366–391 (1956).

    Google Scholar 

  6. L. J. Heider, Compactifications of dimension zero. Proc. Amer. Math. Soc.10, 377–384 (1959).

    Google Scholar 

  7. M.Henriksen and D. G.Johnson, On the structure of a class of archimedean lattice-ordered algebras. To appear in Fundamenta Math.

  8. E. Hewitt, Rings of real-valued continuous functions I. Trans. Amer. Math. Soc.64, 45–99 (1948).

    Google Scholar 

  9. T. Nakayama, Note on lattice-ordered groups. Proc. Imp. Acad. Tokyo18, 1–4 (1942).

    Google Scholar 

  10. H.Nakano, Modern Spectral Theory. Tokyo Mathematical Book Series No. 2, Tokyo 1950.

  11. M. H. Stone, Boundedness properties in function lattices. Canadian J. Math.1, 176–186 (1949).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brainerd, B. On a class of Φ-algebras with zero dimensional structure spaces. Arch. Math 12, 290–297 (1961). https://doi.org/10.1007/BF01650562

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01650562

Keywords

Navigation