A note on simple medial quasigroups

K. K. Ščukin

Displaying similar documents to “A note on simple medial quasigroups”

Simple quasigroups whose inner permutations commute

Tomáš Kepka, K. K. Ščukin (1993)

Commentationes Mathematicae Universitatis Carolinae

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Simple quasigroups with commuting inner permutations are medial.

On multiplication groups of relatively free quasigroups isotopic to Abelian groups

Aleš Drápal (2005)

Czechoslovak Mathematical Journal

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If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to an Abelian group, then its multiplication group $M l t Q$ is a Frobenius group. Conversely, if $M l t Q$ is a Frobenius group, $Q$ a quasigroup, then $Q$ has to be isotopic to an Abelian group. If $Q$ is, in addition, finite, then it must be a central quasigroup (a $T$ -quasigroup).

Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity

Grzegorz Bińczak, Joanna Kaleta (2014)

Discussiones Mathematicae - General Algebra and Applications

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In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.