Title:
|
Irreducible Belousov equations on quasigroups (English) |
Author:
|
Krapež, A. |
Author:
|
Taylor, M. A. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
43 |
Issue:
|
1 |
Year:
|
1993 |
Pages:
|
157-175 |
. |
Category:
|
math |
. |
MSC:
|
08B15 |
MSC:
|
20M07 |
MSC:
|
20N05 |
MSC:
|
39B62 |
idZBL:
|
Zbl 0801.20055 |
idMR:
|
MR1205239 |
DOI:
|
10.21136/CMJ.1993.128378 |
. |
Date available:
|
2009-09-24T09:28:27Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128378 |
. |
Reference:
|
[1] Belousov, V. D.: Balanced identities in quasigroups.(Russian) Mat. Sb. (N.S.) 70 (112) (1966), 55–97. Zbl 0199.05203, MR 0202898 |
Reference:
|
[2] Belousov, V. D.: Quasigroups with completely reducible balanced equations.(Russian), Issledovaniya po teorii binarnykh i $n$-arnykh kvazigrupp, Matematicheskie Issledovaniya, Shtiinca, Kishinev tome 83 (1985), 11–25. MR 0807270 |
Reference:
|
[3] Dénes, J. and Keedwell, A. D.: Latin squares and their applications.Academic Press, New York-London, 1974. MR 0351850 |
Reference:
|
[4] Krapež, A. and Taylor, M. A.: Belousov equations on quasigroups.Aequationes Math. 34 (1987), 174–185. MR 0921097, 10.1007/BF01830669 |
Reference:
|
[5] Krapež, A.: On solving a system of balanced functional equations on quasigroups III.Publ. Inst. Math. (Beograd) 26 (40) (1979), 145–156. MR 0572343 |
Reference:
|
[6] Mal’cev, A. I.: Algebraic Systems.Springer-Verlag, New York, Heidelberg, Berlin, 1973. MR 0349384 |
. |