Axiomatic characterization of fields by the product formula for valuations
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- by Emil Artin and George Whaples PDF
- Bull. Amer. Math. Soc. 51 (1945), 469-492
References
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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.
- C. Chevalley, La théorie du corps de classes, Ann. of Math. (2) 41 (1940), 394–418 (French). MR 2357, DOI 10.2307/1969013
- Alexander Ostrowski, Über einige Lösungen der Funktionalgleichung $\psi (x)\cdot \psi (x)=\psi (xy)$, Acta Math. 41 (1916), no. 1, 271–284 (German). MR 1555153, DOI 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.
- George Whaples, Non-analytic class field theory and Grünwald’s theorem, Duke Math. J. 9 (1942), 455–473. MR 7010
Additional Information
- Journal: Bull. Amer. Math. Soc. 51 (1945), 469-492
- DOI: https://doi.org/10.1090/S0002-9904-1945-08383-9
- MathSciNet review: 0013145