Orthogonality of linear (alinear) quasigroups and their parastrophes
Abstract
Necessary and sufficient conditions of orthogonality of left (right) linear (alinear) quasigroups in various combinations are given. As corollary we obtain conditions of parastroph orthogonality of left (right) linear (alinear) quasigroups. Any linear (alinear) quasigroup over the symmetric group Sn (n≠ 2; 6) is not orthogonal to its (12)-parastrophe.
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