Application of ternary quasigroups to string transformation
Diskretnaya Matematika, Tome 36 (2024) no. 2, pp. 132-143 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a word transformation algorithm using a finite ternary quasigroup, which is defined by a three-dimensional matrix of a special kind. A sufficient sign of simplicity and a sign of polynomial completeness of a finite ternary quasigroup are proved. A method has been developed to verify the polynomial completeness property of a finite ternary quasigroup by considering its corresponding three-dimensional matrix.
Keywords: ternary quasigroup, congruence.
Mots-clés : transformation
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N. A. Shchuchkin. Application of ternary quasigroups to string transformation. Diskretnaya Matematika, Tome 36 (2024) no. 2, pp. 132-143. http://geodesic.mathdoc.fr/item/DM_2024_36_2_a8/

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