| Title:
|
The cross-ratio in Hjelmslev planes (English) |
| Author:
|
Jurga, Rastislav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
243-247 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Hjelmsev plane over a special local ring |
| Keyword:
|
cross-ratio in Hjelmsev plane |
| MSC:
|
51C05 |
| MSC:
|
51E30 |
| idZBL:
|
Zbl 0901.51003 |
| idMR:
|
MR1600879 |
| DOI:
|
10.21136/MB.1997.126149 |
| . |
| Date available:
|
2009-09-24T21:25:51Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126149 |
| . |
| Reference:
|
[1] Dembowski P.: Finite Geometries.Springer-Verlag, New York Inc., 1968. Zbl 0159.50001, MR 0233275 |
| Reference:
|
[2] Ewald G.: Geometry: An Introduction.Wadsworth Publishing Company, Inc., Belmont, California, 1971. Zbl 0292.50001, MR 0365322 |
| Reference:
|
[3] Hjelmslev J.: Die natürliche Geometrie.Leipzig, 1923. |
| Reference:
|
[4] Hughes D. R., Piper F. C: Projective Planes.Springer-Verlag, New York, 1973. Zbl 0267.50018, MR 0333959 |
| Reference:
|
[5] Jurga R.: Some combinatorial properties of conics in the Hjelmslev plane.Math. Slovaca 45 (1995), no. 3, 219-226. Zbl 0853.05018, MR 1361814 |
| . |
