Hopf-Galois extensions for monoidal Hom-Hopf algebras

• Autorzy: Yuanyuan Chen , Liangyun Zhang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18C20: Algebras and Kleisli categories associated with monads
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
• 18C15: Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 1
• Strony: 127-147

Daty

wydano

2016

Twórcy

autor

Yuanyuan Chen

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

autor

Liangyun Zhang

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

Identyfikatory

DOI

10.4064/cm6615-12-2015