Let L and M be subfields of F and LM their composite. (a) If K L
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Let L and M be subfields of F and LM their composite.
(a) If K ⊂ L ∩ M and M = K(S) for some S ⊂ M, then LM = L(S).
(b) When is it true that LM is the set theoretic union L ∪ M?
(c) If E1, ... , En are subfields of F, show that
Transcribed Image Text:
E₁ E₂ En .. = E₁(E₂(E3(En-1(En)))· · · ).
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a Let x LM then there exist elements a L and b M such that x ab Since M KS there exist elements b1 b...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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