The group of strong Galois objects associated to a cocommutative Hopf quasigroup
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| Title: | The group of strong Galois objects associated to a cocommutative Hopf quasigroup |
| Author: | Alonso Álvarez, José Nicanor Fernández Vilaboa, José Manuel González Rodríguez, Ramón |
| Affiliation: | Universidade de Santiago de Compostela. Departamento de Matemáticas |
| Subject: | Monoidal category | Unital magma | Hopf quasigroup | (strong) Galois H-object | Galois group | Normal basis | |
| Date of Issue: | 2017 |
| Publisher: | Korean Mathematical Society |
| Citation: | 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 |
| 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 |
| Publisher version: | https://doi.org/10.4134/JKMS.j160118 |
| URI: | http://hdl.handle.net/10347/17664 |
| DOI: | 10.4134/JKMS.j160118 |
| ISSN: | 0304-9914 |
| E-ISSN: | 2234-3008 |
| Rights: | © Korean Mathematical Society, 2017. This article is licensed under a Creative Commons Attribution-NonComercial 4.0 International License Atribución-NoComercial 4.0 Internacional |
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Except where otherwise noted, this item's license is described as © Korean Mathematical Society, 2017. This article is licensed under a Creative Commons Attribution-NonComercial 4.0 International License