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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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The Brauer group of an Amitsur field
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by Chan Nan Chang PDF
Proc. Amer. Math. Soc. 39 (1973), 493-496 Request permission

Abstract:

In this paper we compute the entire Brauer groups of Amitsur fields (i.e. certain fields of formal power series ${K_m}$ described in §1); these are interesting generalizations of the Brauer groups over the fields of local class field theory.
References
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  • S. A. Amitsur, On central division algebras, Israel J. Math. 12 (1972), 408–420. MR 318216, DOI 10.1007/BF02764632
  • Emil Artin, Algebraic numbers and algebraic functions, Gordon and Breach Science Publishers, New York-London-Paris, 1967. MR 0237460
  • D. G. Northcott, An introduction to homological algebra, Cambridge University Press, New York, 1960. MR 0118752
  • Jean-Pierre Serre, Corps locaux, Publications de l’Institut de Mathématique de l’Université de Nancago, VIII, Hermann, Paris, 1962 (French). Actualités Sci. Indust., No. 1296. MR 0150130
  • E. Witt, Schiefkörper über diskret bewerteten Körpern, J. Reine Angew. Math. 176 (1936), 153-156.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 39 (1973), 493-496
  • MSC: Primary 13A20; Secondary 13J05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0314812-X
  • MathSciNet review: 0314812