| Title:
|
Closure conditions of commutativity (English) |
| Author:
|
Havel, V. J. |
| Author:
|
Klouda, J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
9-16 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
There are investigated some closure conditions of Thomsen type in 3-webs which gurantee that at least one of coordinatizing quasigroups of a given 3-web is commutative. (English) |
| Keyword:
|
coordinatizing quasigroups of a 3-web |
| Keyword:
|
3-web closure conditions with respect to constant lines |
| Keyword:
|
commutative quasigroups |
| MSC:
|
05B30 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0811.05016 |
| idMR:
|
MR1282108 |
| . |
| Date available:
|
2008-06-06T21:25:19Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107490 |
| . |
| Reference:
|
[1] Pickert, G.: Projektive Ebenen.Berlin - Heidelberg - New York, 1975. Zbl 0307.50001, MR 0370350 |
| Reference:
|
[2] Bruck, R. H.: What is a loop?.Studies in Modern Algebra, Prentice - Hall (1963), 59-99. Zbl 0199.05202, MR 0146228 |
| Reference:
|
[3] Belousov, V. D.: Elements of the theory of quasigroups and loops (in Russian).Kishinev, 1967. |
| Reference:
|
[4] Havel, V.: 3-webs (in Czech).Knižnice Vys. uč. techn. (Brno) A-17 (1978), 209-242. |
| Reference:
|
[5] Golovko, I. A.: Closure conditions in quasigroups (in Russian).Izv. Akad. Nauk Mold. SSR (1971/3), 172. |
| Reference:
|
[6] Bol, G.: Gewebe und Gruppen.Math. Ann. 114 (1937), 414-431. Zbl 0016.22603, MR 1513147 |
| Reference:
|
[7] Ilse, D., Lehmann, I., Schulz, W.: Gruppoide und Funktionalgleichungen.Berlin, 1984. MR 0753469 |
| . |
