FREE MODIFIED ROTA-BAXTER ALGEBRAS AND HOPF ALGEBRAS

Yıl 2019, , 12 - 34, 08.01.2019

Xigou Zhang Xing Gao Li Guo

https://doi.org/10.24330/ieja.504101

Cited By: 2

Öz

The notion of a modied Rota-Baxter algebra comes from the

combination of those of a Rota-Baxter algebra and a modied Yang-Baxter

equation. In this paper, we rst construct free modied Rota-Baxter algebras.

We then equip a free modied Rota-Baxter algebra with a bialgebra structure

by a cocycle construction. Under the assumption that the generating algebra

is a connected bialgebra, we further equip the free modied Rota-Baxter alge-

bra with a Hopf algebra structure.

Anahtar Kelimeler

Modied Rota-Baxter algebra, Rota-Baxter algebra, Hopf algebra, bracketed word, cocycle

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