Prove that the field C, Q(i) and Q(2) are isomorphic as vector spaces, but not as fields.

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Prove that the field C, Q(i) and Q(√2) are isomorphic as vector spaces, but not as fields.

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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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Prove that the field C, Q(i) and Q(2) are isomorphic as vector spaces, but not as fields.

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Q(√2)

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Let us first define the given terms C is the field of complex numbers Qi is the field of complex num...View the full answer

Algebra Graduate Texts In Mathematics 73

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