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arXiv · 1506.07664

A characterization of weak Hopf (co)quasigroups

J. N. Alonso Álvarez·J. M. Fernández Vilaboa·R. González Rodríguez
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Abstract

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)quasigroup and weak Hopf algebra, we obtain as a consequence the first fundamental theorem for Hopf (co)quasigroups and a characterization of weak Hopf algebras in terms of bijectivity of a Galois-type morphism (also called fusion morphism).

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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez. 2015-06-25. A characterization of weak Hopf (co)quasigroups. https://arxiv.org/abs/1506.07664

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