Submitted:
14 July 2026
Posted:
15 July 2026
You are already at the latest version
Abstract
This paper aims to formulate well-defined Rota-Baxter operators on Hopf π-algebras. To this end, we construct convolution algebras over π-graded structures, and further investigate the properties of antipodes and homomorphisms of Hopf π-algebras. Finally, we present the definition of Rota-Baxter Hopf π-algebras and construct valid examples.
Keywords:
Hopf π-algebra
; convolution algebra
; Rota-Baxter operator
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
