Skip to main content
Log in

A construction for topological non-desarguesian affine Hjelmslev planes

  • 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. C. A. Baker, N. D. Lane, J. W. Lorimer andJ. A. Laxton, Preordered affine Hjelmslev planes. J. Geometry23, 14–44 (1984).

    Google Scholar 

  2. K. H. Hoffmann, Topologische Loops. Math. Z.70, 13–37 (1958).

    Google Scholar 

  3. K. H.Hoffmann, An Introduction to Non-Associative Topological Algebra. Lecture notes delivered at Tulane University, Tulane University 1960–61.

  4. J. W. Lorimer, Coordinate theorems for affine Hjelmslev planes. Ann. Mat. Pura. Appl.105, 171–190 (1975).

    Google Scholar 

  5. J. W. Lorimer, Locally compact Hjelmslev planes and rings. Canad. J. Math.33, 988–1021 (1981).

    Google Scholar 

  6. J. W. Lorimer, Dual numbers and topological Hjelmslev planes. Canad. Math. Bull.26, 297–302 (1983).

    Google Scholar 

  7. H. R. Salzmann, Topological planes. Adv. in Math.2, 1–60 (1967).

    Google Scholar 

  8. L. A. Skornjakov, Topological projective planes. Trudy Moskov. Obsc6, 347–373 (1954).

    Google Scholar 

  9. J. L.Zemmer, Hjelmslev near-rings and a class of non-desarguesian affine Hjelmslev translation planes. Preprint 1977.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors gratefully acknowledge the support of the Natural Sciences and Engineering Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baker, C.A., Lane, N.D. & Lorimer, J.W. A construction for topological non-desarguesian affine Hjelmslev planes. Arch. Math 50, 83–92 (1988). https://doi.org/10.1007/BF01313499

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313499

Navigation