Free Rota-Baxter systems and a Hopf algebra structure
Rings and Algebras
2018-10-24 v2
Abstract
In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gr\"{o}bner-Shirshov bases method and then we obtain a left counital Hopf algebra structure on a free Rota-Baxter system.
Keywords
Cite
@article{arxiv.1703.08541,
title = {Free Rota-Baxter systems and a Hopf algebra structure},
author = {Jianjun Qiu and Yuqun Chen},
journal= {arXiv preprint arXiv:1703.08541},
year = {2018}
}
Comments
16 pages