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Free Rota-Baxter systems and a Hopf algebra structure

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 Hopf algebra… Click to show full abstract

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 Hopf algebra structure on a free Rota-Baxter system.

Keywords: algebra structure; free rota; rota baxter; hopf algebra

Journal Title: Communications in Algebra
Year Published: 2017

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