Argue that every finite extension field of R is either R itself or is isomorphic to C.

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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 01:43 AM

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Argue that every finite extension field of R is either R itself or is isomorphic to C.

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Because C R 2 and C is an algebraic closure of R it must be that every irreducible px in Rx of degree 1 is actually of degree 2 Because C R where C is ...View the full answer

A First Course In Abstract Algebra

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