Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses
Rings and Algebras
2025-04-16 v4 Category Theory
Abstract
The present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators defined by Li-Sheng-Tang (2024), where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.
Keywords
Cite
@article{arxiv.2402.16704,
title = {Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses},
author = {José Manuel Fernández Vilaboa and Ramón González Rodríguez and Brais Ramos Pérez},
journal= {arXiv preprint arXiv:2402.16704},
year = {2025}
}