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math.GR2018
On some groupoids of small orders with Bol-Moufang type of identities
Vladimir Chernov, Alexander Moldovyan, Victor Shcherbacov
We count number of groupoids of order 3 with some Bol-Moufang type identities.
math.GR2018
Some properties of Neumann quasigroups
Natalia N. Didurik, Victor A. Shcherbacov
Any Neumann quasigroup (quasigroup with Neumann identity is called Neumann quasigroup) can be presented in the form , where…
math.GR2018
Markovsky algorithm on i-invertibile groupoids
Nadeghda N. Malyutina, Alexandra V. Scerbacova, Victor A. Shcherbacov
We propose modification of Markovsky crypto-algorithm [2, 3, 4] on n-ary groupoids [1] that are invertible on at least one place.