Units in generalized derivatives of quasigroups
Group Theory
2020-09-09 v1
Abstract
We proceed the research of generalized quasigroup derivatives started in early papers of the last co-author ([20, p. 212], [13]). For any quasigroup there exist 648 generalized derivatives. Here we study the problem about existence of units (left, right, middle) in quasigroups that are a generalized derivative of a quasigroup. There exist 1944 various cases. For every case we find a proof or a counterexample, often using Prover or Mace [15, 14].
Cite
@article{arxiv.2009.03605,
title = {Units in generalized derivatives of quasigroups},
author = {G. Horosh and N. Malyutina and A. Scerbacova and V. Shcherbacov},
journal= {arXiv preprint arXiv:2009.03605},
year = {2020}
}
Comments
16 pages