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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
Summary:
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.
References:
[1] Dembowski P.: Finite Geometries. Springer-Verlag, New York Inc., 1968. MR 0233275 | Zbl 0159.50001
[2] Ewald G.: Geometry: An Introduction. Wadsworth Publishing Company, Inc., Belmont, California, 1971. MR 0365322 | Zbl 0292.50001
[3] Hjelmslev J.: Die natürliche Geometrie. Leipzig, 1923.
[4] Hughes D. R., Piper F. C: Projective Planes. Springer-Verlag, New York, 1973. MR 0333959 | Zbl 0267.50018
[5] Jurga R.: Some combinatorial properties of conics in the Hjelmslev plane. Math. Slovaca 45 (1995), no. 3, 219-226. MR 1361814 | Zbl 0853.05018
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