2023/04/30 by Li, Zhonghua, Wang, Shukun
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2305.00482
As Hopf truss analogues of Rota-Baxter Hopf algebras, the notion of Rota-Baxter systems of Hopf algebras is proposed. We study the relatiohship between Rota-Baxter systems of Hopf algebras and Rota-Baxter Hopf algebras, show that there is a Rota-Baxter system structure on the group algebra if the group has a Rota-Baxter system structure, investigate the descendent Hopf algebra of a Rota-Baxte system of Hopf algebras. Finally we study the local decomposition of the character group from a Rota-Baxter system of Hopf algebras to a commutative algebra.