| Title:
|
Symmetries in hexagonal quasigroups (English) |
| Author:
|
Volenec, Vladimír |
| Author:
|
Bombardelli, Mea |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
123-132 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries. (English) |
| Keyword:
|
quasigroup |
| Keyword:
|
hexagonal quasigroup |
| Keyword:
|
symmetry |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1156.20066 |
| idMR:
|
MR2336964 |
| . |
| Date available:
|
2008-06-06T22:50:50Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108057 |
| . |
| Reference:
|
[1] Volenec V.: Geometry of medial quasigroups.Rad Jugoslav. Akad. Znan. Umjet. [421] 5 (1986), 79–91. Zbl 0599.20112, MR 0857271 |
| Reference:
|
[2] Volenec V.: Geometry of IM quasigroups.Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [456] 10 (1991), 139–146. Zbl 0794.51010, MR 1211606 |
| Reference:
|
[3] Volenec V.: Hexagonal quasigroups.Arch. Math. (Brno), 27a (1991), 113–122. Zbl 0780.20046, MR 1189648 |
| Reference:
|
[4] Volenec V.: Regular triangles in hexagonal quasigroups.Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [467] 11 (1994), 85–93. Zbl 0841.20063, MR 1362503 |
| Reference:
|
[5] Bombardelli M., Volenec V.: Vectors and transfers in hexagonal quasigroups.to be published in Glas. Mat. Ser. III. MR 2376913 |
| . |
