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arXiv · 2311.05235

Categorical isomorphisms for Hopf braces

José Manuel Fernández Vilaboa·Ramón González Rodríguez·Brais Ramos Pérez
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Abstract

In this paper, we introduce the category of brace triples in a braided monoidal setting and prove that it is isomorphic to the category of s-Hopf braces, which are a generalization of cocommutative Hopf braces. After that, we obtain a categorical isomorphism between finite cocommutative Hopf braces and a certain subcategory of cocommutative post-Hopf algebras, which suppose an expansion to the braided monoidal setting of the equivalence obtained by Y. Li, Y. Sheng and R. Tang for the category of vector spaces over a field $\mathbb{K}$.

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José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez. 2023-11-09. Categorical isomorphisms for Hopf braces. https://doi.org/10.15672/hujms.1511335

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