On subfields of countable codimension
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- by A. Białynicki-Birula PDF
- Proc. Amer. Math. Soc. 35 (1972), 354-356 Request permission
Abstract:
In [2] the authors asked if any two real closed subfields $R, R’$ of the field of complex numbers C such that $R(\surd ( - 1)) = R’(\surd ( - 1)) = C$ are isomorphic. It is not difficult to see that the answer is negative. This is proved in the first part of the note. In the second we study the problem if any field which is not prime contains a proper subfield of countable (finite or infinite) codimension.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 354-356
- MSC: Primary 12F99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0304357-4
- MathSciNet review: 0304357