3 citations · 5 across the 6 of their papers we have counts for
9 papers · 1 filter
Units in generalized derivatives of quasigroups
G. Horosh, N. Malyutina, A. Scerbacova +1
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 der…
Units in quasigroups with classical Bol-Moufang type identities
Natalia Didurik, Victor Shcherbacov
We prolong Kunen research about existence of units (left, right, two-sided) in quasigroups with classical Bol-Moufang type identities. These identities were listed in Fenvesh artic…
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.
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…
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.
On definition of CI-quasigroup
N. N. Didurik, V. A. Shcherbacov
Groupoid in which equality is true for all , where is a map of the set , is a CI-quasigroup.