Bulletin of the American Mathematical Society

Axiomatic characterization of fields by the product formula for valuations

Emil Artin and George Whaples

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Bull. Amer. Math. Soc., Volume 51, Number 7 (1945), 469-492.

First available in Project Euclid: 3 July 2007

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Artin, Emil; Whaples, George. Axiomatic characterization of fields by the product formula for valuations. Bull. Amer. Math. Soc. 51 (1945), no. 7, 469--492. https://projecteuclid.org/euclid.bams/1183507128

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  • 6. A. Ostrowski, Untersuchung in der arithmetische Theorie der Körper, Parts I, II, and III, Math. Zeit. 39 (1935) pp. 269-321.
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  • 8. G. Whaples, Non-analytic class field theory and Grunwald's theorem, Duke Math. J. vol. 9 (1942) pp. 455-473.

See also

  • This work is cited by: E. Artin, G. Whaples. A note on axiomatic characterization of fields. Bull. Amer. Math. Soc., Volume 52, Number 4 (1946), 245--247.
  • This work is cited by: George Whaples. On a conjecture about infinite class fields. Bull. Amer. Math. Soc., Volume 53, Number 4 (1947), 377--380.