EUDML | Quadratic Level Quasigroup Equations With Four Variables II: the Lattice of Varieties

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Displaying similar documents to “Quadratic Level Quasigroup Equations With Four Variables II: the Lattice of Varieties”

On Quasigroup Varieties Closed Under Isotopy

Sava Krstić (1986)

Publications de l'Institut Mathématique

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Varieties of quasigroups determined by short strictly balanced identities

Jaroslav Ježek, Tomáš Kepka (1979)

Czechoslovak Mathematical Journal

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Varieties of idempotent medial n-quasigroups

B. Csákány, L. Megyesi (1979)

Colloquium Mathematicae

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Quadratic level quasigroup equations with four variables. I.

Krapež, Aleksandar (2007)

Publications de l'Institut Mathématique. Nouvelle Série

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Isotopy invariant quasigroup identities

Aleksandar Krapež, Bojan Marinković (2016)

Commentationes Mathematicae Universitatis Carolinae

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According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.

Quasigroups determined by balanced identities of length $≦ 6$

Ján Duplák (1986)

Czechoslovak Mathematical Journal

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