English

Rota-Baxter coalgebras and Rota-Baxter bialgebras

Rings and Algebras 2016-04-12 v1

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.

Keywords

Cite

@article{arxiv.1604.02950,
  title  = {Rota-Baxter coalgebras and Rota-Baxter bialgebras},
  author = {Tianshui Ma and Linlin Liu},
  journal= {arXiv preprint arXiv:1604.02950},
  year   = {2016}
}