Let S be a subset of F. If u F is algebraic over K(S) and u

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Let S be a subset of F. If u ϵ F is algebraic over K(S) and u is not algebraic over K(S - { v }), where v ϵ S, then v is algebraic over K((S - {vi) ∪ {u}).

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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 20, 2023 02:57 AM

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Let S be a subset of F. If u F is algebraic over K(S) and u

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ANSWER Lets prove the statement by contradiction Assume that v is not algebraic over KS v u Then we ...View the full answer

Algebra Graduate Texts In Mathematics 73

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