Skip to main content
Log in

A general theory of Autometrized algebras

  • Published:
Mathematische Annalen 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. Birkhoff, G.: Lattice theory. Am. Math. Colloquium Publications, (25) (1948).

  2. Blumenthal, L. M.: Boolean Geometry I. Rend. Circ. Mat. Palermo serie ii, tomo1, 343–360 (1952).

    Google Scholar 

  3. Ellis, D.: Autometrized Boolean Algebras I. Canad. J. Math.3, 83–87 (1951).

    Google Scholar 

  4. —— Autometrized Boolean Algebras II. Canad. J. Math.3, 145–147 (1951).

    Google Scholar 

  5. Kamalaranjan, Roy: Newmannian Geometry I. Bull. Calcutta Math. Soc.52, 187–194 (1960).

    Google Scholar 

  6. —— Newmannian Geometry II. Bull. Calcutta Math. Soc.54, 33–40 (1962).

    Google Scholar 

  7. Menger, K.: Untersuchungen über allgemeine Metrik II. Math. Ann.100, 75–163 (1928).

    Google Scholar 

  8. Mckinsey, J. C. C., andA. Tarski: On closed elements in closure Algebras. Ann. Math.47, 122–162 (1946).

    Google Scholar 

  9. Narasimhaswamy, K. L.: Autometrized lattice ordered groups I. Math. Ann.154, 406–412 (1964).

    Google Scholar 

  10. Newman, M. H. A.: A characterisation of Boolean lattices and rings. J. Lond. Math. Soc.16, 256–272 (1941).

    Google Scholar 

  11. Nordhaus, E. A., andLeo Lapidus: Brouwerian geometry. Canad. J. Math. Soc.6, 217–229 (1954).

    Google Scholar 

  12. Pitcher, Everett, andM. F. Smiley: Transitivities of betweenness. Trans. Am. Math. Soc.52, 95–114 (1942).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Swamy, K.L.N. A general theory of Autometrized algebras. Math. Ann. 157, 65–74 (1964). https://doi.org/10.1007/BF01362667

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01362667

Keywords

Navigation