Geodesic
On isotopies, parastrophies, and orthogonality of quasigroups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 237-244

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In V. D. Belousov's papers, some properties of parastrophes were studied and some relations between parastrophes of a given quasigroup were obtained. Also some invariants of a parastrophy were found. This article continues our paper with V. V. Gushan, in which minimal sets of parastrophe systems for quasigroups of order $6$ were obtained and some questions about orthogonality of parastrophes of a given quasigroup were studied as well. 
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     author = {K. K. Shchukin},
     title = {On isotopies, parastrophies, and orthogonality of quasigroups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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K. K. Shchukin. On isotopies, parastrophies, and orthogonality of quasigroups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 237-244. http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a15/