Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE GROUP OF STRONG GALOIS OBJECTS ASSOCIATED TO A COCOMMUTATIVE HOPF QUASIGROUP

  • Alvarez, Jose N. Alonso (Departamento de Matematicas Facultad de Economicas Universidad de Vigo Campus Universitario Lagoas-Marcosende) ;
  • Rodriguez, Ramon Gonzalez (Departamento de Matematica Aplicada II E.T.S.I. Telecomunicacion Universidad de Vigo Campus Universitario Lagoas-Marcosende) ;
  • Vilaboa, Jose M. Fernandez (Departamento de Alxebra Facultad de Matematicas Universidad de Santiago de Compostela)
  • Received : 2016.02.20
  • Published : 2017.03.01
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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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References

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