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

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2017_jmks_alonso_group_strong.pdf (239.76 KB)
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URI: http://hdl.handle.net/10347/17664
ISSN: 0304-9914
E-ISSN: 2234-3008
DOI: 10.4134/JKMS.j160118

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2017

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Korean Mathematical Society
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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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Monoidal category| Unital magma| Hopf quasigroup| (strong) Galois H-object| Galois group| Normal basis

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Alvarez, J., Rodriguez, R., & Vilaboa, J. (2017). THE GROUP OF STRONG GALOIS OBJECTS ASSOCIATED TO A COCOMMUTATIVE HOPF QUASIGROUP. Journal Of The Korean Mathematical Society, 54(2), 517-543. doi: 10.4134/jkms.j160118

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The authors were supported by Ministerio de Economía y Competitividad (Spain) and by Feder founds. Project MTM2013-43687-P: Homología, homotopía e invariantes categóricos en grupos y álgebras no asociativas

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© Korean Mathematical Society, 2017. This article is licensed under a Creative Commons Attribution-NonComercial 4.0 International License
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