3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GR2012
Orthogonality of linear (alinear) quasigroups and their parastrophes
V. A. Shcherbacov
Necessary and sufficient conditions of orthogonality of left (right) linear (alinear) quasigroups in various combinations are given. As corollary we obtain conditions of parastroph…
math.GR2011★ 3 cited
A-nuclei and A-centers of a quasigroup
V. A. Shcherbacov
A-nuclei (groups of regular permutations) of a quasigroup are studied. A quasigroup is A-nuclear if and only if it is group isotope. Any quasigroup with permutation medial or param…
math.GR2008
On the structure of left and right F-, SM- and E-quasigroups
V. A. Shcherbacov
It is proved that any left F-quasigroup is isomorphic to the direct product of a left F-quasigroup with a unique idempotent element and isotope of a special form of a left distribu…