The cross-ratio in Hjelmslev planes

Rastislav Jurga

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 3, page 243-247
  • ISSN: 0862-7959

Abstract

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The cross-ratio in Hjelmslev planes is defined. The cross-ratio in the Hjelmslev plane H ( R ) is independent of the choice of a coordinate system on a line.

How to cite

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Jurga, Rastislav. "The cross-ratio in Hjelmslev planes." Mathematica Bohemica 122.3 (1997): 243-247. <http://eudml.org/doc/248142>.

@article{Jurga1997,
abstract = {The cross-ratio in Hjelmslev planes is defined. The cross-ratio in the Hjelmslev plane $H(R)$ is independent of the choice of a coordinate system on a line.},
author = {Jurga, Rastislav},
journal = {Mathematica Bohemica},
keywords = {Hjelmsev plane over a special local ring; cross-ratio in Hjelmsev plane; Hjelmsev plane over a special local ring; cross-ratio in Hjelmsev plane},
language = {eng},
number = {3},
pages = {243-247},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The cross-ratio in Hjelmslev planes},
url = {http://eudml.org/doc/248142},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Jurga, Rastislav
TI - The cross-ratio in Hjelmslev planes
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 3
SP - 243
EP - 247
AB - The cross-ratio in Hjelmslev planes is defined. The cross-ratio in the Hjelmslev plane $H(R)$ is independent of the choice of a coordinate system on a line.
LA - eng
KW - Hjelmsev plane over a special local ring; cross-ratio in Hjelmsev plane; Hjelmsev plane over a special local ring; cross-ratio in Hjelmsev plane
UR - http://eudml.org/doc/248142
ER -

References

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  1. Dembowski P., Finite Geometries, Springer-Verlag, New York Inc., 1968. (1968) Zbl0159.50001MR0233275
  2. Ewald G., Geometry: An Introduction, Wadsworth Publishing Company, Inc., Belmont, California, 1971. (1971) Zbl0292.50001MR0365322
  3. Hjelmslev J., Die natürliche Geometrie, Leipzig, 1923. (1923) 
  4. Hughes D. R., Piper F. C, Projective Planes, Springer-Verlag, New York, 1973. (1973) Zbl0267.50018MR0333959
  5. Jurga R., Some combinatorial properties of conics in the Hjelmslev plane, Math. Slovaca 45 (1995), no. 3, 219-226. (1995) Zbl0853.05018MR1361814

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