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

let E be a finite extension of a ﬁeld F of prime characteristic p, and let K = F(Ep)
be the subﬁeld of E obtained from F by adjoining the pth powers of all elements of
E. Show that F(Ep) consists of all ﬁnite linear combinations of elements in Ep with
coeﬃcients in F.

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Expert Solution

Colby Messinger answered 1 year ago

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