Hopf–Galois extensions for monoidal Hom-Hopf algebras

Yuanyuan Chen; Liangyun Zhang

doi:10.4064/cm6615-12-2015

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Hopf–Galois extensions for monoidal Hom-Hopf algebras

Yuanyuan Chen Liangyun Zhang

Year: 2015 Journal: Colloquium Mathematicum Pages: 1-21 Publisher: Polish Academy of Sciences

DOI: 10.4064/cm6615-12-2015

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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

Keywords:

Mathematics Hopf algebra Symmetric monoidal category Pure mathematics Algebra over a field Functor

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Homotopy and Cohomology in Algebraic Topology

Physical Sciences → Mathematics → Mathematical Physics

Hopf–Galois extensions for monoidal Hom-Hopf algebras

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