4 citations · 10 across the 9 of their papers we have counts for
10 papers
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}…
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…
Categorical isomorphisms for Hopf braces
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez
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…
Modules over invertible 1-cocycles
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez +1
In this paper we introduce in a braided setting the notion of left module for an invertible 1-cocycle and we prove some categorical equivalences between categories of modules assoc…
A characterization of weak Hopf (co)quasigroups
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez
In this paper we show that weak Hopf (co)quasigroups can be characterized by a Galois-type condition. Taking into account that this notion generalizes the ones of Hopf (co)quasigro…
Equivalences for weak crossed products
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Ana Belén Rodríguez Raposo
In this paper we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we…