4 citations · 14 across the 21 of their papers we have counts for
11 papers · 1 filter
Twist deformations for Hopf coquasigroups
Ramón González Rodríguez, Brais Ramos Pérez
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…
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…
Strong Hopf modules for weak Hopf quasigroups
José Nicanor Alonso Álvarez, José Manuel Fernández Vilaboa, Ramón González Rodríguez
In this paper we introduce the category of strong Hopf modules for a weak Hopf quasigroup H in a braided monoidal category. We also prove that this category is equivalent to the ca…
Iterated weak crossed products
J. M. Fernández Vilaboa, R. González Rodríguez, A. B. Rodríguez Raposo
In this paper we show how iterate weak crossed products with common monoid. More concretely, if and are weak crossed p…
Cleft and Galois extensions associated to a weak Hopf quasigroup
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez
In this paper we introduce the notions of cleft and Galois (with normal basis) extension associated to a weak Hopf quasigroup. We show that, under suitable conditions, both notions…