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Uncountable Fields Have Proper Uncountable Subfields

by Ralph S. Butcher (United States Naval Academy), Wallace L. Hamilton (University of the District of Columbia), and John G. Milcetich (University of the District of Columbia)

This article originally appeared in:
Mathematics Magazine
May, 1985

Subject classification(s): Fields
Applicable Course(s): 4.2 Mod Algebra I & II

Does an uncountable field have any uncountable proper subfields? This paper shows the answer is "yes, always."

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