Suppose k has characteristic p>0 and is algebraic over Fp,prove that Every nonzero element of k is a root of unity
this is what i wrote:
let α ∈ k\{0}. Since k is algebraic, there exists a polynomial f ∈ Fp[x]
such that f(α) = 0
moreover k has characteristic p>0 implis that p.1=0
but i couldn't conclude can someone please help me ? thanks in advance.
this is what i wrote:
let α ∈ k\{0}. Since k is algebraic, there exists a polynomial f ∈ Fp[x]
such that f(α) = 0
moreover k has characteristic p>0 implis that p.1=0
but i couldn't conclude can someone please help me ? thanks in advance.