Geodesic
The commutator Hopf Galois extensions
Algebra and discrete mathematics, no. 3 (2003), pp. 89-94

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $H$ be a finite dimentional Hopf algebra over a field $k$ and $H^*$ the dual Hopf algebra of $H$. Then a commutator right $H^*$-Galois extension $B$ of $B^H$ is characterized in terms of the smash product $B\#H$ and some relationships between such a $B$ and the Hopf Galois Azumaya or Hopf Galois Hirata extensions are also given.
Keywords: commutator subrings, smash products, and Hirata separable extension.
Mots-clés : Hopf Galois extensions, Azumaya algebras 
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     author = {George Szeto and Lianyong Xue},
     title = {The commutator {Hopf} {Galois} extensions},
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     year = {2003},
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George Szeto; Lianyong Xue. The commutator Hopf Galois extensions. Algebra and discrete mathematics, no. 3 (2003), pp. 89-94. http://geodesic.mathdoc.fr/item/ADM_2003_3_a5/