Let (a+ b i ) C where a, b R and b 0. Show

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Let (a+ b_i) ∈ C where a, b ∈ R and b ≠ 0. Show that C = R(a + bi).

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 01:44 AM

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Let (a+ b i ) C where a, b R and b 0. Show

Question:

Step by Step Answer:

If b 0 then a bi C but a bi R By Theorem 313 a bi is algebraic over R Then by Theorem 314 C R C Ra b...View the full answer

A First Course In Abstract Algebra

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