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The Invariant Subrings of an Azumaya Galois Extension
Authors:Email author" target="_blank">George?SzetoEmail author  Lianyong?Xue
Institution:(1) Department of Mathematics, Bradley University, Peoria, Illinois, 61625, U.S.A.
Abstract:Let B be an Azumaya Galois extension or a DeMeyer-Kanzaki Galois extension with Galois group G. Equivalent conditions are given for a separable subextension of a Galois extension in the skew group ring B * G being an invariant subring of a subgroup of the Galois group G.AMS Subject Classification (2000): 16S35, 16W20.
Keywords:Galois extensions  Azumaya algebras  Azumaya Galois extensions  DeMeyer-Kanzaki Galois extensions
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