HOPF-GALOIS EXTENSIONS FOR MONOIDAL HOM-HOPF ALGEBRAS

作者：Chen, Yuanyuan; Zhang, Liangyun^*

来源：Colloquium Mathematicum, 2016, 143(1): 127-147.

DOI：10.4064/cm6615-12-2015

• monoidal Hom-Hopf algebras
• Hopf-Galois extensions
• total integrals
• affineness theorem

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.

• 出版日期2016
• 单位南京农业大学