Group- ring

[Papapetros Vaggelis]

If \(\displaystyle{G}\) is a cyclic group of order \(\displaystyle{|G|=n\in\mathbb{N}}\) and

\(\displaystyle{\mathbb{K}}\) is a field,

then show that

\(\displaystyle{\mathbb{K}[G]\simeq \mathbb{K}[x]/I\,\,\,\,,I=\langle{x^n-1\rangle}}\) .