| Title:
|
Affine regular decagons in GS-quasigroup (English) |
| Author:
|
Volenec, V. |
| Author:
|
Kolar-Begović, Z. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
383-395 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article the ``geometric'' concept of the affine regular decagon in a general GS--quasigroup is introduced. The relationships between affine regular decagon and some other geometric concepts in a general GS--quasigroup are explored. The geometrical presentation of all proved statements is given in the GS--quasigroup $\Bbb C(\frac{1}{2}(1+\sqrt{5}))$. (English) |
| Keyword:
|
GS-quasigroup |
| Keyword:
|
affine regular decagon |
| Keyword:
|
affine regular pentagon |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1192.20054 |
| idMR:
|
MR2490434 |
| . |
| Date available:
|
2009-05-05T17:11:54Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119730 |
| . |
| Reference:
|
[1] Volenec V.: GS-quasigroups.Časopis Pěst. Mat. 115 (1990), 307-318. Zbl 0715.20044, MR 1071063 |
| Reference:
|
[2] Kolar Z., Volenec V.: GS-trapezoids in GS-quasigroups.Math. Commun. 7 (2002), 143-158. Zbl 1016.20052, MR 1952756 |
| Reference:
|
[3] Kolar-Begović Z., Volenec V.: DGS-trapezoids in GS-quasigroups.Math. Commun. 8 (2003), 215-218. Zbl 1061.20062, MR 2026399 |
| Reference:
|
[4] Kolar-Begović Z., Volenec V.: Affine regular pentagons in GS-quasigroups.Quasigroups Related Systems 12 (2004), 103-112. Zbl 1073.20062, MR 2130583 |
| Reference:
|
[5] Kolar-Begović Z., Volenec V.: GS-deltoids in GS-quasigroups.Math. Commun. 10 (2005), 117-122. Zbl 1089.20039, MR 2199101 |
| . |
