English

Rota-Baxter Coalgebras

Rings and Algebras 2021-10-05 v2

Abstract

We introduce the notion of Rota-Baxter coalgebra which can be viewed as the dual notion of Rota-Baxter algebra. We provide some concrete examples and establish various properties of this new object. We also consider comodules over Rota-Baxter coalgebras.

Keywords

Cite

@article{arxiv.1409.3052,
  title  = {Rota-Baxter Coalgebras},
  author = {Run-Qiang Jian and Jiao Zhang},
  journal= {arXiv preprint arXiv:1409.3052},
  year   = {2021}
}

Comments

19 pages;some new properties about Rota-Baxter coalgebras and a new section about Rota-Baxter comodules are added

R2 v1 2026-06-22T05:53:22.218Z