On Quasigroup Varieties Closed Under Isotopy
Sava Krstić (1986)
Publications de l'Institut Mathématique
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Displaying similar documents to “Varieties of idempotent medial n-quasigroups”
On Quasigroup Varieties Closed Under Isotopy
Quadratic Level Quasigroup Equations With Four Variables II: the Lattice of Varieties
Aleksandar Krapež (2013)
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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Golden section quasigroups as special idempotent medial quasigroups
Václav Havel, Miloslava Sedlářová (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.
Loops whose translations generate the alternating group
Aleš Drápal, Tomáš Kepka (1990)
Czechoslovak Mathematical Journal
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On the structure of finite paramedial quasigroups
V. A. Shcherbacov, D. I. Pushkashu (2010)
Commentationes Mathematicae Universitatis Carolinae
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Information on the structure of finite paramedial quasigroups, including a classification of finite simple paramedial quasigroups, is given. The problem ``Classify the finite simple paramedial quasigroups'' was posed by J. Ježek and T. Kepka at the conference LOOPS'03, Prague 2003.