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Isotopy Invariant Quasigroup Identities

Aleksandar Krapez,Bojan Marinkovic

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE（2016）

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Abstract
According to S. Krstic, 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.
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Key words
quasigroup, 3-sorted quasigroup, homotopy, isotopy, quadratic identity, gemini identity, coherent identity, variety closed under isotopy (homotopy)
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