Sokhatsky F.
On superassociative group isotropies

It is proved that every Menger quasigroup (group-like Menger algebra) is an W-algebra. Relations between such algebraic notions as: Homomorphism, subquasigroup, congruence relatiuons and so on, of a Menger quasigroup and the corresponding notions of its decomposition algebra are found. A criterion for the group isotope to be a superassociative is established. Some main algebraic notions in superassociative group isotopes are considered.