N. Didurik

activity

20172020

most citedOn definition of CI-quasigroup

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2020

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…

math.GR2018

Some properties of Neumann quasigroups

Natalia N. Didurik, Victor A. Shcherbacov

Any Neumann quasigroup $(Q, \cdot)$ (quasigroup with Neumann identity $x \cdot (y z \cdot y x) = z$ is called Neumann quasigroup) can be presented in the form $x \cdot y = x - y$ , where…

math.GR2017★ 1 cited

On definition of CI-quasigroup

N. N. Didurik, V. A. Shcherbacov

Groupoid $(Q, \cdot)$ in which equality $(x y) J x = y$ is true for all $x, y \in Q$ , where $J$ is a map of the set $Q$ , is a CI-quasigroup.