2 papers
math.QA2015
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…
math.QA2015
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…