On Azumaya Galois Extensions
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A
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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 $B\supset B^GC\supset B^G$ where $C$ is the center of $B$.
Classification :
16S35, 16W20.
@article{BMMS_2012_35_2A_a13,
author = {Lianyong Xue},
title = {On {Azumaya} {Galois} {Extensions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {2A},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a13/}
}
Lianyong Xue. On Azumaya Galois Extensions. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a13/