R. G. Rodríguez

collaborators

5 papers

math.QA2026

Twist deformations for Hopf coquasigroups

RamÃ³n GonzÃ¡lez RodrÃguez, Brais Ramos PÃ©rez

In this paper, we develop a general theory of twist deformations for Hopf coquasigroups in a symmetric monoidal category. To this end, we first introduce and study non-coassociativ…

math.RA2026

Opposite brace triples, Hopf braces and matched pairs of Hopf algebras

RamÃ³n GonzÃ¡lez RodrÃguez, Brais Ramos PÃ©rez

In this paper the category of opposite brace triples is introduced in a general braided monoidal setting. Under cocommutativity, it is proved to be isomorphic to the category of Ho…

math.RA2026

On modules over a Hopf brace

RamÃ³n GonzÃ¡lez RodrÃguez, Brais Ramos PÃ©rez, Ana BelÃ©n RodrÃguez Raposo

Let $H = (H_{1}, H_{2})$ be a Hopf brace in a symmetric monoidal category $C$ . In this article it is proved that the category of modules over $H$ is isomorphic…

math.RA2025

Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses

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 wea…

math.RA2025

Categorical equivalences for Hopf trusses and their modules

In this paper we introduce the notion of generalized invertible 1-cocycle in a strict braided monoidal category C, and we prove that the category of Hopf trusses is equivalent to t…