Rota-Baxter coalgebras and Rota-Baxter bialgebras

Published 11 Apr 2016 in math.RA | (1604.02950v1)

Abstract: We give a construction of Rota-Baxter coalgebras from Hopf module coalgebras and also derive the structures of the pre-Lie coalgebras via Rota-Baxter coalgebras of different weight. Finally, the notion of Rota-Baxter bialgebra is introduced and some examples are provided.

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