(a) If find F Q and a basis of F over Q (b) Do the same for where i C, i 2 1, and is a complex (nonreal) cube root of 1 F Q(,),...

ANSWER a We have F Q2 3 which is a degree4 extension of Q since both 2 and 3 are irrational and quad ...

(a) If find [F: Q] and a basis of F over Q. (b) Do the same for...

Question:

(a) If

find [F: Q] and a basis of F over Q.

(b) Do the same for

where i ϵ C, i² = -1, and ω is a complex (nonreal) cube root of 1.

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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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(a) If find [F: Q] and a basis of F over Q. (b) Do the same for...

Question:

F = Q(√√²,√√³),

Step by Step Answer:

ANSWER a We have F Q2 3 which is a degree4 extension of Q since both 2 and 3 are irrational and quad...View the full answer

Algebra Graduate Texts In Mathematics 73

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