Rota-Baxter Coalgebras

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.

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

References in corpus (1)

• Loday-type Algebras and the Rota-Baxter Relation

Cited by in corpus (7)

• Rota-Baxter operators on cocommutative Hopf algebras
• Rota-Baxter bisystems and covariant bialgebras
• Representations and Modules of Rota-Baxter Algebras
• An Algebraic Study of Multivariable Integration and Linear Substitution
• Rota-Bater paried comodule and Rota-Bater paired Hopf module
• On weak peak quasisymmetric functions
• Rota-Baxter coalgebras and Rota-Baxter bialgebras