Geodesic
Closure conditions of commutativity
Archivum mathematicum, Tome 30 (1994) no. 1, pp. 9-16.

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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.
Classification : 05B30, 20N05
Keywords: coordinatizing quasigroups of a 3-web; 3-web closure conditions with respect to constant lines; commutative quasigroups 
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Havel, V. J.; Klouda, J. Closure conditions of commutativity. Archivum mathematicum, Tome 30 (1994) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/ARM_1994__30_1_a1/