Title of article :
On Azumaya Galois Extensions
Author/Authors :
XUE, LIANYONG Bradley University - Department of Mathematics, USA
Abstract :
Let B be a Galois extension of an Azumaya algebra with Galois group G. Then B is characterized in terms of the commutator subring of B^G in B and the skew group ring B*G. Also an equivalent condition is given for B as a composition of two Galois extensions B⊃B^G C⊃B^G where C is the center of B
Keywords :
Separable extensions , Hirata separable extensions , Azumaya algebras , Galois extensions , Azumaya Galois extensions , commutator Galois extensions
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
