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Polynomials in topological fields
Author(s):
Irving
Kaplansky
Journal:
Bull. Amer. Math. Soc.
54
(1948),
909-916.
MathSciNet review:
0027269
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- E. Artin and O. Schreier, Algebraische Konstruktion reeler Körper, Abh. Math. Sem. Hamburgischen Univ. vol. 5 (1926) pp. 83-115.
- 2.
- E. Artin and G. Whaples, The theory of simple rings, Amer. J. Math. vol. 65 (1943) pp. 87-107. MR 7391
- 3.
- N. Bourbaki, Éléments de Mathématique, Livre III. Topologie Générale, Actualités Scientifiques et Industrielles, nos. 858 and 916, Paris, 1940 and 1942. MR 9103
- 4.
- W. Habicht, Ein Existenzsatz über reele definite Polynome, Comment. Math. Helv. vol. 18 (1946) pp. 331-348. MR 16747
- 5.
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. vol. 46 (1945) pp. 695-707. MR 14083
- 6.
- 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.
- 8.
- 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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