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Hexagonal quasigroups. (English) Zbl 0780.20046

Author’s abstract: Hexagonal quasigroups are defined and it is shown that a hexagonal quasigroup is a special idempotent medial quasigroup. In hexagonal quasigroups a geometrical terminology and methods are introduced. A characterization of hexagonal quasigroups by commutative groups is obtained.

MSC:

20N05 Loops, quasigroups
51A25 Algebraization in linear incidence geometry
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