| Title:
|
Plenary stable quasigroups (English) |
| Author:
|
Holgate, Philip |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
1-7 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element. (English) |
| Keyword:
|
quasigroup identities |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0734.20032 |
| idMR:
|
MR1118283 |
| . |
| Date available:
|
2008-10-09T13:10:37Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116936 |
| . |
| Reference:
|
[1] Bruck R.H.: A Survey of Binary Systems.Springer-Verlag, 1966. Zbl 0141.01401, MR 0093552 |
| Reference:
|
[2] Bruck R.H.: Some results in the theory of quasigroups.Trans. American Math. Soc. 55 (1944), 19-52. Zbl 0063.00635, MR 0009963 |
| Reference:
|
[3] Dénes J., Keedwell A.D.: Latin Squares and their Applications.Akadémiai Kiadó and English Universities Press, 1974. MR 0351850 |
| Reference:
|
[4] Holgate P.: Genetic algebras satisfying Bernstein's stationarity condition.J. London Math. Soc. (2) 9 (1975), 613-623. MR 0465270 |
| Reference:
|
[5] Mallol C.: A propos des algèbres de Bernstein.Thèse, Univ. des Sciences et Techniques du Languedoc, 1989. |
| Reference:
|
[6] Marica J., Schönheim J.: Incomplete diagonals of latin squares.Canadian Math. Bull. 12 (1969), 235. MR 0246786 |
| Reference:
|
[7] Sade A.: Morphismes des quasigroupes. Tables.Revista Fac. des Sciences Univ. de Lisbo a, A (2) 13 (1971-1972), 149-172. MR 0315037 |
| . |
