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?

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:56 AM

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Let L and M be subfields of F and LM their composite. (a) If K L

Question:

E₁ E₂ En .. = E₁(E₂(E3(En-1(En)))· · · ).

Step by Step Answer:

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

Algebra Graduate Texts In Mathematics 73

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