(a) If S is a transcendence base of the field C of complex numbers over the field...

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(a) If S is a transcendence base of the field C of complex numbers over the field Q of rationals, then S is infinite.

(b) There are infinitely many distinct automorphisms of the field C. (c) tr.d.C/Q = |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 20, 2023 02:59 AM

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(a) If S is a transcendence base of the field C of complex numbers over the field...

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Algebra Graduate Texts In Mathematics 73

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