The Brauer group of an Amitsur field. II
HTML articles powered by AMS MathViewer
- by Chan Nan Chang PDF
- Proc. Amer. Math. Soc. 47 (1975), 22-24 Request permission
Abstract:
The structure of the Brauer group over an Amitsur field with characteristic 0 has been determined in [5]. In this paper we extend these results to the Amitsur field with characteristic $p > 0$.References
- A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587
- 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
- Maurice Auslander and Oscar Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 121392, DOI 10.1090/S0002-9947-1960-0121392-6
- Chan Nan Chang, The Brauer group of an Amitsur field, Proc. Amer. Math. Soc. 39 (1973), 493–496. MR 314812, DOI 10.1090/S0002-9939-1973-0314812-X
- 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, Schiefköper über discret bewerteten Körpern, J. Reine Angew. Math. 176 (1936), 153-156.
- Shuen Yuan, On the Brauer groups of local fields, Ann. of Math. (2) 82 (1965), 434–444. MR 184978, DOI 10.2307/1970706
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 22-24
- DOI: https://doi.org/10.1090/S0002-9939-1975-0352066-0
- MathSciNet review: 0352066