Title of article :
On Azumaya Crossed Products
Author/Authors :
SZETO, GEORGE Bradley University - Department of Mathematics, USA
Abstract :
Let B be an Azumaya algebra with a finite inner automorphism group G. It is shown that if B contains a maximal commutative Galois algebra S with Galois group G|S restricted by and isomorphic with G, then B contains a crossed product Δ(S,G,f) with a factor set f. Also properties of the Azumaya crossed product Δ(S,G,f) are given
Keywords :
Azumaya algebras , crossed products , Galois extensions , Hirata separable extensions
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society