Volume no :11, Issue no: 1, March (2014)

HOPF GALOIS EXTENSIONS AND AZUMAYA ALGEBRAS

Author's: Lianyong Xue
Pages: [21] - [31]
Received Date: January 17, 2014
Submitted by:

Abstract

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

Keywords

separable extensions, Hirata separable extensions, Azumaya algebras, Galois extensions, Hopf Galois extensions.