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On perfect subfields over which a field is separably generated


Author: David Jacobson
Journal: Proc. Amer. Math. Soc. 33 (1972), 292-296
MSC: Primary 12F10
DOI: https://doi.org/10.1090/S0002-9939-1972-0294304-6
MathSciNet review: 0294304
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Abstract: In this paper, we determine the perfect subfields over which a field is separably generated.


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

  • [1] N. Bourbaki, Eléments de mathématique. I: Les structures fondamentales de l'analyse. Fasc. XI. Livre II: Algèbre. Chaps. 4, 5, Actualités Sci. Indust., no. 1102, Hermann, Paris, 1959. MR 30 #4751.
  • [2] S. Mac Lane, Separating transcendence bases, Duke Math. J. 5 (1939), 372-393. MR 1546131
  • [3] O. Zariski and P. Samuel, Commutative algebra. Vol. I, University Series in Higher Math., Van Nostrand, Princeton, N.J., 1957. MR 19, 833. MR 0090581 (19:833e)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0294304-6
Keywords: Separable algebraic extension, separating transcendence basis, separable generation, perfect field, maximal perfect subfield
Article copyright: © Copyright 1972 American Mathematical Society

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