6 citations · 6 across the 4 of their papers we have counts for
4 papers
2-dimensional self-distributive non-counital bialgebras and knot invariants
Valeriy G. Bardakov, Tatiana A. Kozlovskaya, Alexander S. Panasenko +1
In the preprint of V. Bardakov, T. Kozlovskaya, D. Talalaev (Self-distributive bialgebras, arXiv:2501.19152) it was formulated a problem of classification of self-distributive bial…
Self-distributive algebras and bialgebras
Valeriy G. Bardakov, Tatiana A. Kozlovskaya, Dmitry V. Talalaev
This article is devoted to the study of self-distributive algebraic structures: algebras, bialgebras; additional structures on them, relations of these structures with Hopf algebra…
Some properties of relative Rota--Baxter operators on groups
V. G. Bardakov, T. A. Kozlovskaya, P. P. Sokolov +2
We find connection between relative Rota--Baxter operators and usual Rota--Baxter operators. We prove that any relative Rota--Baxter operator on a group with respect to $(G, Ψ)…
Set-theoretical solutions of simplex equations
V. Bardakov, B. Chuzinov, I. Emel'yanenkov +3
The -simplex equation (-SE) was introduced by A. B. Zamolodchikov as a generalization of the Yang--Baxter equation, which is the -simplex equation in these terms. In the p…