Viktor N. Zhelaybin

collaborators

2 papers

math.RA2024

Algebra, group, and Hopf Rota-Baxter operators

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

We know definition of Rota--Baxter operators on different algebraic systems. For examples, on groups, on algebras, on Hopf algebras. On some algebraic systems it is possible to def…

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…

Algebra, group, and Hopf Rota-Baxter operators

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

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