Let R and C be the fields of real and complex numbers respectively. (a) dim R C

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Let R and C be the fields of real and complex numbers respectively.

(a) dim_RC = 2 and dim_RR = 1.

(b) There is no field K such that R ⊂ K ⊂ C.

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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 15, 2023 03:04 AM

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Let R and C be the fields of real and complex numbers respectively. (a) dim R C

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a To see that dimRC 2 note that 1 i is a basis for C over R ...View the full answer

Algebra Graduate Texts In Mathematics 73

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