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math.RA2017
Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases
Jianjun Qiu, Yuqun Chen
We establish the Gröbner-Shirshov bases theory for differential Lie -algebras. As an application, we give a linear basis of a free differential Lie Rota-Baxter algebra on a set.
math.RA2017★ 5 cited
Free Rota-Baxter systems and a Hopf algebra structure
Jianjun Qiu, Yuqun Chen
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…