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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (54), 2007/

On definitions of groupoids closely connected with quasigroups.

Authors: Şcerbacov Victor

Abstract

Both "existential" and "equational" definitions of binary quasigroups and groupoids closely connected with quasigroups are given. It is proved that a groupoid (Q, ·) is a quasigroup if and only if all middle translations of (Q, ·) are bijective maps of the set Q.

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