4 citations · 10 across the 9 of their papers we have counts for
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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…
Integrals and crossed products over weak Hopf algebras
N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez
In this paper we present the general theory of cleft extensions for a cocommutative weak Hopf algebra . For a weak left -module algebra we obtain a bijective correspondence b…
Weak Crossed Biproducts and Weak Projections
J. M. Fernández Vilaboa, R. González Rodríguez, A. B. Rodríguez Raposo
We present the universal theory of weak crossed biproducts, and we prove that every weak projection of weak bialgebras induces an example of this crossed structure. As an example,…