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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1936-881X(e) ISSN 0002-9904(p)
     

Polynomials in topological fields

Author(s): Irving Kaplansky
Journal: Bull. Amer. Math. Soc. 54 (1948), 909-916.
MathSciNet review: 0027269
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References | Additional information

References:

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E. Artin and O. Schreier, Algebraische Konstruktion reeler Körper, Abh. Math. Sem. Hamburgischen Univ. vol. 5 (1926) pp. 83-115.
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E. Artin and G. Whaples, The theory of simple rings, Amer. J. Math. vol. 65 (1943) pp. 87-107. MR 7391
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N. Bourbaki, Éléments de Mathématique, Livre III. Topologie Générale, Actualités Scientifiques et Industrielles, nos. 858 and 916, Paris, 1940 and 1942. MR 9103
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W. Habicht, Ein Existenzsatz über reele definite Polynome, Comment. Math. Helv. vol. 18 (1946) pp. 331-348. MR 16747
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N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. vol. 46 (1945) pp. 695-707. MR 14083
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I. Kaplansky, Topological methods in valuation theory, Duke Math. J. vol. 14 (1947) pp. 527-541. MR 22210
7.
A. Ostrowski, Untersuchungen zur arithmetischen Theorie der Körper, Math. Zeit. vol. 39 (1935) pp. 269-404.
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B. L. van der Waerden, Moderne Algebra, 2d ed., Berlin, 1940, vol. 1, pp. 235-245.


Additional Information:

DOI: 10.1090/S0002-9904-1948-09096-6
PII: S 0002-9904(1948)09096-6


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