Orthogonality of linear (alinear) quasigroups and their parastrophes
Group Theory
2012-12-11 v1
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 S_n () is not orthogonal to its (12)-parastrophe.
Cite
@article{arxiv.1212.1804,
title = {Orthogonality of linear (alinear) quasigroups and their parastrophes},
author = {V. A. Shcherbacov},
journal= {arXiv preprint arXiv:1212.1804},
year = {2012}
}
Comments
23 pages