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Article

Havel, V. J. ; Klouda, J.
Closure conditions of commutativity. (English). Archivum Mathematicum, vol. 30 (1994), issue 1, pp. 9-16
MSC: 05B30, 20N05 | MR 1282108 | Zbl 0811.05016
Keywords:
coordinatizing quasigroups of a 3-web; 3-web closure conditions with respect to constant lines; commutative quasigroups
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.
References:
[1] Pickert, G.: Projektive Ebenen. Berlin - Heidelberg - New York, 1975. MR 0370350 | Zbl 0307.50001
[2] Bruck, R. H.: What is a loop?. Studies in Modern Algebra, Prentice - Hall (1963), 59-99. MR 0146228 | Zbl 0199.05202
[3] Belousov, V. D.: Elements of the theory of quasigroups and loops (in Russian). Kishinev, 1967.
[4] Havel, V.: 3-webs (in Czech). Knižnice Vys. uč. techn. (Brno) A-17 (1978), 209-242.
[5] Golovko, I. A.: Closure conditions in quasigroups (in Russian). Izv. Akad. Nauk Mold. SSR (1971/3), 172.
[6] Bol, G.: Gewebe und Gruppen. Math. Ann. 114 (1937), 414-431. MR 1513147 | Zbl 0016.22603
[7] Ilse, D., Lehmann, I., Schulz, W.: Gruppoide und Funktionalgleichungen. Berlin, 1984. MR 0753469
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