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Transactions of the American Mathematical Society

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Steinitz field towers for modular fields


Author: Saunders MacLane
Journal: Trans. Amer. Math. Soc. 46 (1939), 23-45
MSC: Primary 09.1X
DOI: https://doi.org/10.1090/S0002-9947-1939-0000017-3
MathSciNet review: 0000017
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  • [1] A. A. Albert, Modern Higher Algebra, Chicago, 1937.
  • [2] H. Hasse and F. K. Schmidt, Die Struktur diskret bewerteter Körper, Journal für die reine und angewandte Mathematik, vol. 170 (1934), pp. 4-63.
  • [3] S. Mac Lane, A lattice formulation for transcendence degrees and $ p$-bases, Duke Mathematical Journal, vol. 4 (1938), pp. 456-468.
  • [4] -, Subfields and automorphism groups of $ p$-adic fields, Annals of Mathematics, vol. 40 (1939), pp. 423-442.
  • [5] E. Steinitz, Algebraische Theorie der Körper, edited by R. Baer and H. Hasse, Berlin, 1930.
  • [6] O. Teichmüller, $ p$-Algebren, Deutsche Mathematik, vol. 1 (1936), pp. 362-388.
  • [7] -, Diskret bewertete perfekte Körper mit unvollkommenem Restklassenkörper, Journal für die reine und angewandte Mathematik, vol. 176 (1937), pp. 141-152.
  • [8] E. Witt, Zyklische Körper und Algebren der Charakteristik $ p$ vom Grad $ {p^n}$, Journal für die reine und angewandte Mathematik, vol. 176 (1937), pp. 126-140.

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DOI: https://doi.org/10.1090/S0002-9947-1939-0000017-3
Article copyright: © Copyright 1939 American Mathematical Society

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