V. Bardakov

activity

20102026

most citedRota-Baxter groups, skew left braces, and the Yang-Baxter equation

51 citations · 254 across the 64 of their papers we have counts for

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Showing 2024 · math.GRShow all

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math.GR2024

Orders of products of horizontal class transpositions

V. G. Bardakov, A. L. Iskra

The class transposition group $C T (Z)$ was introduced by S. Kohl in 2010. It is a countable subgroup of the permutation group $S y m (Z)$ of the set of integers $\mat…

math.GR2024

Lie Rota--Baxter operators on the Sweedler algebra $H_{4}$

Valeriy G. Bardakov, Igor M. Nikonov, Viktor N. Zhelaybin

If $A$ is an associative algebra, then we can define the adjoint Lie algebra $A^{(-)}$ and Jordan algebra $A^{(+)}$ . It is easy to see that any associative Rota--Baxter operator on…

math.GR2024

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 $H$ with respect to $(G, Ψ)…

Orders of products of horizontal class transpositions

Lie Rota--Baxter operators on the Sweedler algebra H4​

Some properties of relative Rota--Baxter operators on groups

Lie Rota--Baxter operators on the Sweedler algebra $H_{4}$