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Construction of medial ternary self-orthogonal quasigroups
Iryna Fryz, Fedir Sokhatsky Vasyl' Stus Donetsk National University
Аннотация:
Algorithms for checking if a medial ternary quasigroup has a set of six triple-wise orthogonal principal parastrophes and a set of six triple-wise strongly orthogonal principal parastrophes are found. It is proved that $n$-ary strongly self-orthogonal linear (including medial) quasigroups do not exist when $n>3$.
Ключевые слова и фразы:
medial quasigroup, orthogonal quasigroups, self-orthogonal quasigroup, strongly self-orthogonal quasigroup, central quasigroup, determinant, polynomial.
Поступила в редакцию: 12.11.2022
Образец цитирования:
Iryna Fryz, Fedir Sokhatsky, “Construction of medial ternary self-orthogonal quasigroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 3, 41–55
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm580 https://www.mathnet.ru/rus/basm/y2022/i3/p41
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Страница аннотации: | 209 | PDF полного текста: | 20 | Список литературы: | 19 |
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