If D is finite dimensional division algebra over its center K and F is a maximal subfield

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If D is finite dimensional division algebra over its center K and F is a maximal subfield of D, then there is a K-algebra isomorphism D⊗_kF ≅ Mat_nF, where n = dim_FD.

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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 08:21 AM

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If D is finite dimensional division algebra over its center K and F is a maximal subfield

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Algebra Graduate Texts In Mathematics 73

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