List at irreducible which are least elements also ten those of z[ilo] prime.
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- 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of have the same additive order .Show that the converse of Eisenstein’s Irreducibility Criterion is not true by finding an irreducible such that there is no that satisfies the hypothesis of Eisenstein’s Irreducibility Criterion.Let be as described in the proof of Theorem. Give a specific example of a positive element of .