arXiv subjects

Ivan I. Deriyenko

Publications and source records attributed to Ivan I. Deriyenko.

4 recordsLinked to original sources

arXiv2016

Configurations of conjugate permutations

We describe some configurations of conjugate permutations which may be used as a mathematical model of some genetical processes and crystal growth.

math.CO↗

arXiv2013

D-loops

$D$-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest $D$-loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of $D$-loops from IP-loops. Unfortunately, a loop isotopic to a $D$-loop may not be a $D$-loop.

math.GR↗

arXiv2009

Rigid and super rigid quasigroups

The paper deals with quasigroups having a trivial group of automorphisms and a trivial group of autotopisms. Examples of such quasigroups and methods of their verification are given.

math.GR↗

arXiv2009

On prolongations of quasigroups

We prove that any quasigroup admissing complete or quasicomplete mapping has a prolongation to a quasigroup having one element more.

math.GR↗