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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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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