A special class of invariant transformations of loop transversals in loops is investigated. Transformations from this class correspond to arbitrary isotopies of transversal operations in loops. Isotopies of loop transversal operations with the same unit 1 are investigated.
(2024) Didurik, Natalia N.; Shcherbacov, Victor A.
A quasigroup satisfying the identity x(yx) = y is called semisymmetric. In this article, the isotopy of semisimmetric quasigroups is studied. A condition is found when a loop, isotopic to a semisymmetric quasigroup, is a semisymmetric loop.
