4 citations · 14 across the 21 of their papers we have counts for
13 papers · 1 filter
Opposite brace triples, Hopf braces and matched pairs of Hopf algebras
Ramón González Rodríguez, Brais Ramos Pérez
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…
On modules over a Hopf brace
Ramón González Rodríguez, Brais Ramos Pérez, Ana Belén Rodríguez Raposo
Let be a Hopf brace in a symmetric monoidal category . In this article it is proved that the category of modules over is isomorphic…
Projections of Hopf braces
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez +1
This paper is devoted to the study of Hopf braces projections in a monoidal setting. Given a cocommutative Hopf brace in a strict symmetric monoidal category ${\sf C}…
Weak Hopf quasigroups and matched pairs of quasigroupoids
Ramón González Rodríguez
In this paper we introduce the notion of exact factorization of a quasigroupoid and the notion of matched pair of quasigroupoids with common base. We prove that if $({\sf A}, {\sf…
Distributive laws and Hopf quasigroups
Ramón González Rodríguez
In this paper we introduce the notion of -monoidal distributive law between two Hopf quasigroups and . We prove that every -monoidal distributive law induce a product…
Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez
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…