FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 237-244

On isotopies, parastrophies, and orthogonality of quasigroups

K. K. Shchukin

Abstract

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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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Last modified: October 18, 2012