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arXiv · 1602.06108

The group of strong Galois objects associated to a cocommutative Hopf quasigroup

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

Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H-objects is a (group) monoid which coincides, in the Hopf algebra setting, with the Galois group of H-Galois objects introduced by Chase and Sweedler.

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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez. 2016-02-19. The group of strong Galois objects associated to a cocommutative Hopf quasigroup. https://arxiv.org/abs/1602.06108

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