Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Construction of medial ternary self-orthogonal quasigroups
Authors: Iryna Fryz, Fedir Sokhatsky
Keywords: medial quasigroup, orthogonal quasigroups, self-orthogonal quasigroup, strongly self-orthogonal quasigroup, central quasigroup, determinant, polynomial
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Keywords: medial quasigroup, orthogonal quasigroups, self-orthogonal quasigroup, strongly self-orthogonal quasigroup, central quasigroup, determinant, polynomial
Abstract
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 $n>3$.Vasyl' Stus Donetsk National University
E-mail: ,
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DOI
https://doi.org/10.56415/basm.y2022.i3.p41Fulltext
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Contents
- Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces
- A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations
- Optimal control of jump-diffusion processes with random parameters
- A self-similar solution for the two-dimensional Broadwell system via the Bateman equation
- Construction of medial ternary self-orthogonal quasigroups
- Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems
