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Field Extensions of the Rationals
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Magu1re
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Hello all,
Is every field extension of the rationals a subfield of the complex numbers?
Failing that, is every finite field extension of the rationals (algebraic number field) a subfield of the complex numbers?
(I do not know what the degree of the complex numbers over the rationals is!)
Proofs or sketch-proofs would be much appreciated!
Thank you
Is every field extension of the rationals a subfield of the complex numbers?
Failing that, is every finite field extension of the rationals (algebraic number field) a subfield of the complex numbers?
(I do not know what the degree of the complex numbers over the rationals is!)
Proofs or sketch-proofs would be much appreciated!
Thank you
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Smaug123
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(Original post by Magu1re)
Is every field extension of the rationals a subfield of the complex numbers?
Is every field extension of the rationals a subfield of the complex numbers?
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