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True or False: If F is a field, the units of Fa] are precisely the
nonzero elements of F.
(a) True
(b) False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42fff4ed-ee65-4ec2-b267-f26ac3b43ccb%2F4d500159-a00f-4241-a9ca-2bc3abdb0d02%2F0hblkfp_processed.jpeg&w=3840&q=75)
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- Theorem 7. Let FCKCL be three fields. If L is an algebric extension of K and if K is an algebric extension of F, then L is an algebric extension of F.identify the statement that does not hold in a complete ordered field K and provide a counterexample, or an argument as to why it does not hold. it's Z ⊂ K in this case. (i) ∀b ∈ K, ∃a ∈ K, 4ab = b. (ii) ∀a ∈ K, ∃b ∈ K, [(6ab = b) ∧ (b ≠ 0)]. (iii) ∀a∈ K, [0 < a < 1 ⇒ a2 < a].Show that the set Q + Q √ 3 is a field. Q denotes set of all rational numbers
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