Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On middle translations of finite quasigroups
Authors: I. I. Deriyenko
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Abstract
We prove that a finite quasigroup is isotopic to a group if and only if some set of bijections induced by middle transformations of this quasigroup is a group.Fulltext
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Contents
- Fuzzy Lie ideals of Lie algebras with interval-valued membership functions
- Counting loops with the inverse property
- On middle translations of finite quasigroups
- Semigroup, monoid and group models of groupoid identities
- Direct product of quasigroups and generalized diagonal subquasigroup
- Algebraic properties of some varieties of central loops
- On reconstructing reducible n-ary quasigroups and switching subquasigroups
- Left almost semigroups defined by a free algebra
- Quasi union hyper K-algebras
- A note on a union hyper K-algebras
- On decomposition of Moufang groupoids
- Greedy quasigroups
