The Brauer group of an Amitsur field
Author:
Chan Nan Chang
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
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we compute the entire Brauer groups of Amitsur fields (i.e. certain fields of formal power series 
described in §1); these are interesting generalizations of the Brauer groups over the fields of local class field theory.
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- [2] S. A. Amitsur, On central division algebras, Israel J. Math. 12 (1972), 408–420. MR 0318216, https://doi.org/10.1007/BF02764632
- [3] Emil Artin, Algebraic numbers and algebraic functions, Gordon and Breach Science Publishers, New York-London-Paris, 1967. MR 0237460
- [4] D. G. Northcott, An introduction to homological algebra, Cambridge University Press, New York, 1960. MR 0118752
- [5] Jean-Pierre Serre, Corps locaux, Publications de l’Institut de Mathématique de l’Université de Nancago, VIII, Actualités Sci. Indust., No. 1296. Hermann, Paris, 1962 (French). MR 0150130
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1973-0314812-X
Keywords:
Amitsur field,
Brauer group,
character group,
crossed product,
cyclic algebra,
division algebra,
regular local field
Article copyright:
© Copyright 1973
American Mathematical Society
