If {u 1 , ... , U n } is algebraically independent over F, then F and
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If {u_{1}, ... , U_{n}} is algebraically independent over F, then F and K(u_{1}, ... , u_{n}) are linearly disjoint over K.
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This statement is false Counterexample Let F K x where …View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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