Hopf-Galois extensions for monoidal Hom-Hopf algebras

Abstract

We investigate the theory of Hopf-Galois extensions for monoidal Hom-Hopf algebras. As the main result of this paper, we prove the Schneider's affineness theorems in the case of monoidal Hom-Hopf algebras in terms of the theory of the total integral and Hom-Hopf Galois extensions. In addition, we obtain the affineness criterion for relative Hom-Hopf module associated with faithfully flat Hom-Hopf Galois extensions.

arXiv admin note: text overlap with arXiv:1405.6767 by other authors

References in corpus (2)

• Hom-algebras and homology
• Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras

Cited by in corpus (1)

• Hom-entwining structures and Hom-Hopf-type modules