Proof that F is purely inseparable over K if and only if F is algebraic over K

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Proof that F is purely inseparable over K if and only if F is algebraic over K and for any extension field E of F, the only K-monomorphism F →E is the inclusion map.

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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 03:50 AM

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Proof that F is purely inseparable over K if and only if F is algebraic over K

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To prove that F is purely inseparable over K if and only if F is algebraic over K and for any extension field E of F the only Kmonomorphism F E is the ...View the full answer

Algebra Graduate Texts In Mathematics 73

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