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  3. let e be a finite extension of a ?eld f of prime c

let E be a finite extension of a ?eld F of prime characteristic p, and let...

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Advance Math

let E be a finite extension of a ?eld F of primecharacteristic p, and let K = F(Ep)
be the sub?eld of E obtained from F by adjoining the pth powers ofall elements of
E. Show that F(Ep) consists of all ?nite linear combinations ofelements in Ep with
coe?cients in F.

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