Hopf–Galois extensions for monoidal Hom-Hopf algebras
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 127-147
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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
Affiliations des auteurs :
Yuanyuan Chen 1 ; Liangyun Zhang 1
@article{10_4064_cm6615_12_2015,
author = {Yuanyuan Chen and Liangyun Zhang},
title = {Hopf{\textendash}Galois extensions for monoidal {Hom-Hopf} algebras},
journal = {Colloquium Mathematicum},
pages = {127--147},
publisher = {mathdoc},
volume = {143},
number = {1},
year = {2016},
doi = {10.4064/cm6615-12-2015},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6615-12-2015/}
}
TY - JOUR AU - Yuanyuan Chen AU - Liangyun Zhang TI - Hopf–Galois extensions for monoidal Hom-Hopf algebras JO - Colloquium Mathematicum PY - 2016 SP - 127 EP - 147 VL - 143 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm6615-12-2015/ DO - 10.4064/cm6615-12-2015 LA - de ID - 10_4064_cm6615_12_2015 ER -
%0 Journal Article %A Yuanyuan Chen %A Liangyun Zhang %T Hopf–Galois extensions for monoidal Hom-Hopf algebras %J Colloquium Mathematicum %D 2016 %P 127-147 %V 143 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm6615-12-2015/ %R 10.4064/cm6615-12-2015 %G de %F 10_4064_cm6615_12_2015
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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