Let D be a division ring with center K. If a, b D are algebraic over

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Let D be a division ring with center K. If a, b ϵ D are algebraic over the field K and have the same minimal polynomial, then b = dad^-1 for some d ϵ D.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 03, 2023 08:20 AM

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Let D be a division ring with center K. If a, b D are algebraic over

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Proof Lets assume that the minimal polynomial of both elements a and b over the field K is fx Since a and b are algebraic over K this means that there ...View the full answer

Algebra Graduate Texts In Mathematics 73

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