Polynomials in topological fields
HTML articles powered by AMS MathViewer
- by Irving Kaplansky PDF
- Bull. Amer. Math. Soc. 54 (1948), 909-916
References
-
1. E. Artin and O. Schreier, Algebraische Konstruktion reeler Körper, Abh. Math. Sem. Hamburgischen Univ. vol. 5 (1926) pp. 83-115.
- Emil Artin and George Whaples, The theory of simple rings, Amer. J. Math. 65 (1943), 87–107. MR 7391, DOI 10.2307/2371775
- N. Bourbaki, Éléments de mathématique. Part I. Les structures fondamentales de l’analyse. Livre III. Topologie générale. Chapitres III et IV, Hermann & Cie, Paris, 1942 (French). Actualités Sci. Indust., No. 916. MR 0009103
- Walter Habicht, Ein Existenzsatz über reelle definite Polynome, Comment. Math. Helv. 18 (1946), 331–348 (German). MR 16747, DOI 10.1007/BF02568117
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, DOI 10.2307/1969205
- Irving Kaplansky, Topological methods in valuation theory, Duke Math. J. 14 (1947), 527–541. MR 22210 7. A. Ostrowski, Untersuchungen zur arithmetischen Theorie der Körper, Math. Zeit. vol. 39 (1935) pp. 269-404. 8. B. L. van der Waerden, Moderne Algebra, 2d ed., Berlin, 1940, vol. 1, pp. 235-245.
Additional Information
- Journal: Bull. Amer. Math. Soc. 54 (1948), 909-916
- DOI: https://doi.org/10.1090/S0002-9904-1948-09096-6
- MathSciNet review: 0027269