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Geometry of medial quasigroups. (English) Zbl 0599.20112

Rad, Jugosl. Akad. Znan. Umjet. 421, Mat. Znan. 5, 79-91 (1986).
The author introduces the ”geometrical” notions of transfer, parallelogram and midpoint in a medial quasigroup, and then a ”geometrical” proof of the representation theorem of medial quasigroups is given.
Reviewer: C.Pereira da Silva

MSC:

20N05 Loops, quasigroups
51D20 Combinatorial geometries and geometric closure systems
05B25 Combinatorial aspects of finite geometries