Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses

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Abstract

The present article is devoted to study the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of relative Rota-Baxter operators where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.

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Vilaboa et al. (Mon,) studied this question.

synapsesocial.com/papers/68e779ebb6db6435876ee921 https://doi.org/https://doi.org/10.48550/arxiv.2402.16704

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