Let F be a field and let 0₁, 02, ..., On be distinct automorhisms of F, then it is not possible to find the elements a₁, a2, ..., a not all zero in F such that n Σa₁ i=1 a₁o; (b) = 0 for all b € F.

Q: Let F be a field and let 01, 02, ..., On be distinct automorhisms of F, then it is not possible to…

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A: Does not exists because f is not onto.

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Q: 11. 0<1 13. 0<a<b: ⇒ 0 < b−¹ < a¯ ∙1

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