Maximal subfields of an algebraically closed field not containing a given element
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- by Frank Quigley PDF
- Proc. Amer. Math. Soc. 13 (1962), 562-566 Request permission
References
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E. Artin and O. Schreier, Eine Kennzeichnung der reell abgeschlossenen Körper, Abh. Math. Sem. Univ. Hamburg 5 (1927), 225-231.
- N. Bourbaki, Éléments de mathématique. XI. Première partie: Les structures fondamentales de l’analyse. Livre II: Algèbre. Chapitre IV: Polynomes et fractions rationnelles. Chapitre V: Corps commutatifs, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1102, Hermann & Cie, Paris, 1950 (French). MR 0035759 —, Algèbre, Ch. 6, Actualités Sci. Ind., no. 1179, Hermann, Paris, 1952.
- Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Co., New York, N. Y., 1949. Translated from the German by Saul Kravetz. MR 0030947
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 13 (1962), 562-566
- MSC: Primary 12.40
- DOI: https://doi.org/10.1090/S0002-9939-1962-0137705-2
- MathSciNet review: 0137705