Generalized power series fields
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- by Philip W. Carruth
- Trans. Amer. Math. Soc. 63 (1948), 548-559
- DOI: https://doi.org/10.1090/S0002-9947-1948-0024883-6
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References
- Irving Kaplansky, Maximal fields with valuations, Duke Math. J. 9 (1942), 303–321. MR 6161
- Irving Kaplansky, Maximal fields with valuations. II, Duke Math. J. 12 (1945), 243–248. MR 12276
- Philip W. Carruth, Arithmetic of ordinals with applications to the theory of ordered Abelian groups, Bull. Amer. Math. Soc. 48 (1942), 262–271. MR 5878, DOI 10.1090/S0002-9904-1942-07649-X 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. W. Krull, Allgemeine Bewertungstheorie, J. Reine Angew. Math. vol. 167 (1932) pp. 160-196.
- Saunders Mac Lane, Subfields and automorphism groups of $p$-adic fields, Ann. of Math. (2) 40 (1939), no. 2, 423–442. MR 1503470, DOI 10.2307/1968931 O. Teichmüller, Diskret Bewertete Perfekte Körper mit Unvollkommenen Restklassenkörper, J. Reine Angew. Math. vol. 176 (1937) pp. 141-152. B. L. van der Waerden, Moderne Algebra, vol. 1, New York, 1943.
Bibliographic Information
- © Copyright 1948 American Mathematical Society
- 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