Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras

Abstract

We introduce and discuss the notions of Rota–Baxter bialgebra equation systems and Rota–Baxter Hopf algebras. Then we construct a lot of examples based on Hopf quasigroups.

Keywords

• Rota–Baxter Hopf algebras
• Rota–Baxter bialgebra equation systems
• Hopf quasigroups
• two-side Hopf quasimodule bialgebras