Hopf-Galois extensions for monoidal Hom-Hopf algebras

Yuanyuan Chen; Liangyun Zhang

Colloquium Mathematicae (2016)

  • Volume: 143, Issue: 1, page 127-147
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Yuanyuan Chen, and Liangyun Zhang. "Hopf-Galois extensions for monoidal Hom-Hopf algebras." Colloquium Mathematicae 143.1 (2016): 127-147. <http://eudml.org/doc/283792>.

@article{YuanyuanChen2016,
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 affineness criterion for relative Hom-Hopf modules which is associated with faithfully flat Hopf-Galois extensions of monoidal Hom-Hopf algebras.},
author = {Yuanyuan Chen, Liangyun Zhang},
journal = {Colloquium Mathematicae},
keywords = {monoidal Hom-Hopf algebras; Hopf-Galois extensions; total integrals; affineness theorem},
language = {eng},
number = {1},
pages = {127-147},
title = {Hopf-Galois extensions for monoidal Hom-Hopf algebras},
url = {http://eudml.org/doc/283792},
volume = {143},
year = {2016},
}

TY - JOUR
AU - Yuanyuan Chen
AU - Liangyun Zhang
TI - Hopf-Galois extensions for monoidal Hom-Hopf algebras
JO - Colloquium Mathematicae
PY - 2016
VL - 143
IS - 1
SP - 127
EP - 147
AB - 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.
LA - eng
KW - monoidal Hom-Hopf algebras; Hopf-Galois extensions; total integrals; affineness theorem
UR - http://eudml.org/doc/283792
ER -

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