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General quasigroup theory
Kuznetsov E A Transversals in groups 1 Elementary
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abelian group Academiei str arbitrary elements arity Aut(Q autotopy binary Bol loop called canonical decomposition cell permutations commutative conditions are equivalent congruence Corollary cosets cyclic group defined Definition denote distributive n-group DK-ternar endomorphism equality exists an unique finite following conditions G to H G-loop group is abelian group Q grouplike groupoid hold idempotent identity element Institute of Mathematics integers inverse property IP-loop isomorphic Kishinau Kishinev Kuznetsov E.A. left right left transversal Lemma linear group linear group isotopes linear isotope linear quasigroups loop Q loop transversal Math medial Menger algebra Moscow n-ary group obtain operation pair loop permutation groups projective plane proved quasiautomorphism quasigroup theory quasigroups and loops right loop Sciences of Moldova semigroup set of permutations sharply 2-transitive subgroup subquasigroup superassociative group isotopes Theorem theory of quasigroups transitive set transversal in G two-sided transversal unary operation unique solution universal algebra universal elasticity V.D.Belousov