Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Journals Home Search My Subscriptions Subscribe
Previous issue | This issue | Most recent issue | All issues (1891–Present) | Next issue | Previous article | Articles in press | Recently published articles | Next article
   
 
 

 

Polynomials in topological fields


Author: Irving Kaplansky
Journal: Bull. Amer. Math. Soc. 54 (1948), 909-916
DOI: https://doi.org/10.1090/S0002-9904-1948-09096-6
MathSciNet review: 0027269
Full-text PDF Free Access

References | Additional Information

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

  • 1. E. Artin and O. Schreier, Algebraische Konstruktion reeler Körper, Abh. Math. Sem. Hamburgischen Univ. vol. 5 (1926) pp. 83-115.
  • 2. Emil Artin and George Whaples, The theory of simple rings, Amer. J. Math. 65 (1943), 87–107. MR 7391, https://doi.org/10.2307/2371775
  • 3. N. Bourbaki, Éléments de mathématique. Part I. Les structures fondamentales de l’analyse. Livre III. Topologie générale. Chapitres III et IV, Actual. Sci. Ind., no. 916. Hermann & Cie., Paris, 1942 (French). MR 0009103
  • 4. Walter Habicht, Ein Existenzsatz über reelle definite Polynome, Comment. Math. Helv. 18 (1946), 331–348 (German). MR 16747, https://doi.org/10.1007/BF02568117
  • 5. N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, https://doi.org/10.2307/1969205
  • 6. 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

DOI: https://doi.org/10.1090/S0002-9904-1948-09096-6