Geodesic
On Azumaya Crossed Products
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A

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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 $\Delta(S,G,f)$ with a factor set $f$. Also properties of the Azumaya crossed product $\Delta(S,G,f)$ are given.
Classification : Primary: 16S35, 16W20. 
George Szeto. On Azumaya Crossed Products. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a7/
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     author = {George Szeto},
     title = {On {Azumaya} {Crossed} {Products}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {2A},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a7/}
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