The Brauer group is torsion
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- by David J. Saltman PDF
- Proc. Amer. Math. Soc. 81 (1981), 385-387 Request permission
Abstract:
We present a new proof that if $A$ is an Azumaya algebra over a commutative ring $R$ of rank ${n^2}$, then ${A^n} = A{ \otimes _R} \cdots { \otimes _R}A$ is a split Azumaya algebra ${\text {En}}{{\text {d}}_R}(P)$. We provide a description of $P$, including that it is a direct summand of ${A^n}$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 385-387
- MSC: Primary 16A16; Secondary 13A20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0597646-5
- MathSciNet review: 597646