Geodesic
Isotopy invariant quasigroup identities
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 537-547.

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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.
DOI : 10.14712/1213-7243.2015.179
Classification : 03C40, 08A68, 08B99, 20M05
Keywords: quasigroup; $3$-sorted quasigroup; homotopy; isotopy; quadratic identity; gemini identity; coherent identity; variety closed under isotopy (homotopy) 
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Krapež, Aleksandar; Marinković, Bojan. Isotopy invariant quasigroup identities. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 537-547. doi : 10.14712/1213-7243.2015.179. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.179/

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