The commutator Hopf Galois extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Szeto, G., Xue, L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155699
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The commutator Hopf Galois extensions / G. Szeto, L. Xue // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 89–94. — Бібліогр.: 8 назв. — англ.

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 BH 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 extensi...