## Quasigroups and Related Systems, Volumes 1-2 |

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### Contents

General quasigroup theory | 1 |

sojective planes | 6 |

Kuznetsov E A Transversals in groups 1 Elementary | 22 |

9 other sections not shown

### Common terms and phrases

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