Анотація:
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 extensions are also
given.