Es sei n ∈ N + {\displaystyle {}n\in \mathbb {N} _{+}} , q ∈ Z {\displaystyle {}q\in \mathbb {Z} } und a ≠ 0 {\displaystyle {}a\neq 0} . Zeige
![{\displaystyle {}\mathbb {Q} [X]/(X^{n}-q)\cong \mathbb {Q} [Y]/(Y^{n}-a^{n}q)\,.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/54a218d195e6b35dc09df8817deba7f3d3342f78)