Author's: Lianyong Xue
Pages: [21] - [31]
Received Date: January 17, 2014
Submitted by:
Let H be a finite dimensional Hopf algebra over a field
be the dual Hopf algebra of H, and
A be a left H-module algebra such that
is a direct summand of A as an
An equivalent condition is given for an
Azumaya algebra A being an
extension of
and several characterizations of a general
Azumaya extension B with center
C are given in terms of the Azumaya smash product
where B is called a general
Azumaya extension of
if it is an
extension (not necessarily separable) of
an Azumaya
separable extensions, Hirata separable extensions, Azumaya algebras, Galois extensions, Hopf Galois extensions.