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IMCS/Publications/QRS/Issues/QRS v.15, n.2 (18), 2007/

A note on Belousov quasigroups

Authors: A. Krapez

Abstract

A Belousov identity is a balanced identity which is a consequence of commutativity. It is proved that a quasigroup is Belousov iff it has a permutation  satisfying (xy)=yx and a weak (anti)automorphism--like property depending on Belousov identities the quasigroup satisfies.

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