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.
Полный текст:
PDF файл (195 kB)