Hopf–Galois extensions for monoidal Hom-Hopf algebras
Volume 143 / 2016
Colloquium Mathematicum 143 (2016), 127-147
MSC: 16T05, 18D10, 18C15, 18C20.
DOI: 10.4064/cm6615-12-2015
Published online: 9 December 2015
Abstract
Hopf–Galois extensions for monoidal Hom-Hopf algebras are investigated. As the main result, Schneider’s affineness theorem in the case of monoidal Hom-Hopf algebras is shown in terms of total integrals and Hopf–Galois extensions. In addition, we obtain an affineness criterion for relative Hom-Hopf modules which is associated with faithfully flat Hopf–Galois extensions of monoidal Hom-Hopf algebras.
