Construction of medial ternary self-orthogonal quasigroups
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FRYZ, Iryna, SOKHATSKY, Fedir M.. Construction of medial ternary self-orthogonal quasigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, nr. 3(100), pp. 41-55. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i3.p41
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(100) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322

Construction of medial ternary self-orthogonal quasigroups

DOI:https://doi.org/10.56415/basm.y2022.i3.p41
CZU: 512.548.7

Pag. 41-55

Fryz Iryna, Sokhatsky Fedir M.
 
Vasyl Stus Donetsk National University
 
 
Disponibil în IBN: 29 iunie 2023


Rezumat

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 selforthogonal linear (including medial) quasigroups do not exist when n > 3.

Cuvinte-cheie
medial quasigroup, orthogonal quasigroups, self-orthogonal quasigroup, strongly self-orthogonal quasigroup, central quasigroup, determinant, polynomial

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