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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$K$-theory of Azumaya algebras
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by Charles A. Weibel PDF
Proc. Amer. Math. Soc. 81 (1981), 1-7 Request permission

Abstract:

Quillen has defined a $K$-theory for symmetric monoidal categories. We show that Quillen’s groups agree with the groups ${K_0}$, ${K_1}$, and ${K_2}$ defined by Bass. Finally, we compute the $K$-theory of the Azumaya algebras over a commutative ring.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 1-7
  • MSC: Primary 18F25
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589125-6
  • MathSciNet review: 589125