Geodesic
The cross-ratio in Hjelmslev planes
Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 243-247

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MR Zbl
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.
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.
DOI : 10.21136/MB.1997.126149
Classification : 51C05, 51E30
Keywords: Hjelmsev plane over a special local ring; cross-ratio in Hjelmsev plane 
Jurga, Rastislav. The cross-ratio in Hjelmslev planes. Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 243-247. doi: 10.21136/MB.1997.126149
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[1] Dembowski P.: Finite Geometries. Springer-Verlag, New York Inc., 1968. | MR | Zbl

[2] Ewald G.: Geometry: An Introduction. Wadsworth Publishing Company, Inc., Belmont, California, 1971. | MR | Zbl

[3] Hjelmslev J.: Die natürliche Geometrie. Leipzig, 1923.

[4] Hughes D. R., Piper F. C: Projective Planes. Springer-Verlag, New York, 1973. | MR | Zbl

[5] Jurga R.: Some combinatorial properties of conics in the Hjelmslev plane. Math. Slovaca 45 (1995), no. 3, 219-226. | MR | Zbl

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