Alonso Álvarez, José NicanorFernández Vilaboa, José ManuelGonzález Rodríguez, Ramón2018-11-022018-11-022017Alvarez, 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.j1601180304-9914http://hdl.handle.net/10347/17664Let 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 Sweedlereng© Korean Mathematical Society, 2017. This article is licensed under a Creative Commons Attribution-NonComercial 4.0 International LicenseAtribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/Monoidal categoryUnital magmaHopf quasigroup(strong) Galois H-objectGalois groupNormal basisjournal article10.4134/JKMS.j1601182234-3008open access