Quasigroups and Related Systems, Volumes 1-2The Institute, 1994 - Group theory |
Contents
General quasigroup theory | 1 |
Belyavskaya G B Tabarov A H Onesided Tquasigroups | 8 |
Kuznetsov E A Transversals in groups 1 Elementary | 22 |
3 other sections not shown
Common terms and phrases
a₁ abelian group Academiei str analogous arbitrary elements arity Aut(Q autotopy bijection 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 Q groupoid h₁ hold idempotent identity element Institute of Mathematics integers inverse property IP-loop isomorphic Kishinau Kishinev left right left transversal Lemma Let Q linear group linear group isotopes linear isotope linear quasigroups loop Q loop transversal mapping Math medial Menger algebra modular variety Moscow obtain pair loop permutation groups projective plane Proof Proposition proved quasiautomorphism quasigroup theory quasigroups and loops right loop Russian Sciences of Moldova semigroup set of permutations subgroup subquasigroup Theorem transversal in G two-sided transversal unary operation unique solution universal algebra universal elasticity V.D.Belousov Y₁