Can I read Algebra, group, and Hopf Rota-Baxter operators on EtoBox?

Algebra, group, and Hopf Rota-Baxter operators by Bardakov, Valeriy G.; Nikonov, Igor M.; Zhelaybin, Viktor N. is a scholarly article available to read on EtoBox.

What is Algebra, group, and Hopf Rota-Baxter operators about?

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 define different types of Rota--Baxter operators. For example, on group algebra it is possible to define Rota--Baxter operator as on associative algebra, group Rota--Baxter operator and Rota--Baxter operator as on a Hopf algebra. We are investigating the following question: What are connections between these operators? We are studying these questions for the Sweedler algebra $H_4$, that is 4-dimension non--cocommutative Hopf algebra.

Author

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

Published

2024

Language

EN