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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Axiomatic characterization of fields by the product formula for valuations


Authors: Emil Artin and George Whaples
Journal: Bull. Amer. Math. Soc. 51 (1945), 469-492
This work is cited by: Bull. Amer. Math. Soc., Volume 52, Number 4 (1946), 245--247
This work is cited by: Bull. Amer. Math. Soc., Volume 53, Number 4 (1947), 377--380
MathSciNet review: 0013145
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. E. Artin, Über die Bewertungen algebraischer Zahlkörper, Journal für Mathematik vol. 167 (1932) pp. 157-159.
  • 2. C. Chevalley, Sur la théorie du corps de classes dans les corps finis et les corps locaux, Journal of College of Sciences, Tokyo, 1933, II, part 9.
  • 3. C. Chevalley, Généralization de la théorie de corps de classes pour les extensions infinies, Journal de mathématiques pures et appliquées (9) vol. 15 (1936) pp. 359-371.
  • 4. C. Chevalley, La théorie du corps de classes, Ann. of Math. (2) 41 (1940), 394–418 (French). MR 0002357 (2,38c)
  • 5. Alexander Ostrowski, Über einige Lösungen der Funktionalgleichung 𝜓(𝑥)⋅𝜓(𝑥)=𝜓(𝑥𝑦), Acta Math. 41 (1916), no. 1, 271–284 (German). MR 1555153, http://dx.doi.org/10.1007/BF02422947
  • 6. A. Ostrowski, Untersuchung in der arithmetische Theorie der Körper, Parts I, II, and III, Math. Zeit. 39 (1935) pp. 269-321.
  • 7. B. L. van der Waerden, Moderne Algebra, vol. 1, 2d ed., Berlin, 1937.
  • 8. George Whaples, Non-analytic class field theory and Grünwald’s theorem, Duke Math. J. 9 (1942), 455–473. MR 0007010 (4,72a)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1945-08383-9
PII: S 0002-9904(1945)08383-9