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