I. Nikonov

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20112026

most citedVirtual Knot Invariants Arising From Parities

5 citations · 5 across the 20 of their papers we have counts for

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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.GR2023

Relative Rota--Baxter operators on groups and Hopf algebras

Valeriy G. Bardakov, Igor M. Nikonov

M. Goncharov introduced and studied a Rota--Baxter operator on a cocommutative Hopf algebra. In the present paper we define relative Rota--Baxter operators on an arbitrary Hopf alg…

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

Relative Rota--Baxter operators on groups and Hopf algebras

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