8 citations · 10 across the 4 of their papers we have counts for
4 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.GR2010★ 8 cited
Quasigroups in cryptology
V. A. Shcherbacov
We give a review of some known published applications of quasigroups in cryptology.
math.GR2010
Cheban loops
J. D. Phillips, V. A. Shcherbacov
Left Cheban loops are loops that satisfy the identity x(xy.z) = yx.xz. Right Cheban loops satisfy the mirror identity {(z.yx)x = zx.xy}. Loops that are both left and right Cheban a…
math.GR2010★ 2 cited
Equational quasigroup definitions
V. A. Shcherbacov, D. I. Pushkashu, A. V. Shcherbacov
Quasigroup equational definitions are given.