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Continuing the study of the full Brauer group of -Azumaya algebras, we provide a complete description of: (1).
-graded
-Azumaya algebras and the relation to the Brauer-Long group; (2). the subgroup of
-Azumaya algebras that are Galois objects.
The first author was supported by the TMR project ‘Algebraic Lie Representations’. The second author's work was partially supported by the Max-Planck society and partially by the research committee of USP.
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