Free Rota-Baxter systems and a Hopf algebra structure
arXiv:1703.08541 · doi:10.1080/00927872.2018.1427246
Abstract
In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gröbner-Shirshov bases method and then we obtain a left counital Hopf algebra structure on a free Rota-Baxter system.
16 pages