Reine Gleichung/Z/Vorziehen/Aufgabe

Es sei ${}n\in \mathbb {N} _{+}$ , ${}q\in \mathbb {Z}$ und ${}a\neq 0$ . Zeige

{}\mathbb {Q} [X]/(X^{n}-q)\cong \mathbb {Q} [Y]/(Y^{n}-a^{n}q)\,.

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