Geodesic
Hopf–Galois extensions for monoidal Hom-Hopf algebras
Yuanyuan Chen 1   ; Liangyun Zhang 1
1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 127-147 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm6615-12-2015
Mots-clés : hopf galois extensions monoidal hom hopf algebras investigated main result schneider affineness theorem monoidal hom hopf algebras shown terms total integrals hopf galois extensions addition obtain affineness criterion relative hom hopf modules which associated faithfully flat hopf galois extensions monoidal hom hopf algebras

Yuanyuan Chen  1   ; Liangyun Zhang  1

1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China 
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Yuanyuan Chen; Liangyun Zhang. Hopf–Galois extensions for monoidal Hom-Hopf algebras. Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 127-147. doi: 10.4064/cm6615-12-2015

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