Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Generalized power series fields


Author: Philip W. Carruth
Journal: Trans. Amer. Math. Soc. 63 (1948), 548-559
MSC: Primary 09.1X
DOI: https://doi.org/10.1090/S0002-9947-1948-0024883-6
MathSciNet review: 0024883
Full-text PDF Free Access

References | Similar Articles | Additional Information

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

  • [1] I. Kaplansky, Maximal fields with valuations, Duke Math. J. vol. 9 (1942) pp. 303-321. MR 0006161 (3:264d)
  • [2] -, Maximal fields with valuations, II, Duke Math. J. vol. 12 (1945) pp. 243-248. MR 0012276 (7:3d)
  • [3] P. W. Carruth, Arithmetic of ordinals with applications to the theory of ordered abelian groups, Bull. Amer. Math. Soc. vol. 48 (1942) pp. 262-271. MR 0005878 (3:225a)
  • [4] H. Hahn, Über die Nichtarchimedischen Grössensysteme, Sitzungsberichte der Mathematischen Naturwissenschaftliche Klasse der Kaiserlichen Akademie der Wissenschaften, Vienna vol. 116 (II A) (1907) pp. 601-655.
  • [5] W. Krull, Allgemeine Bewertungstheorie, J. Reine Angew. Math. vol. 167 (1932) pp. 160-196.
  • [6] S. MacLane, Subfields and automorphism groups of $ p$-adic fields, Ann. of Math. vol. 40 (1939) pp. 423-442. MR 1503470
  • [7] O. Teichmüller, Diskret Bewertete Perfekte Körper mit Unvollkommenen Restklassenkörper, J. Reine Angew. Math. vol. 176 (1937) pp. 141-152.
  • [8] B. L. van der Waerden, Moderne Algebra, vol. 1, New York, 1943.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 09.1X

Retrieve articles in all journals with MSC: 09.1X


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1948-0024883-6
Article copyright: © Copyright 1948 American Mathematical Society

American Mathematical Society