• $𝐧$-th root of Unity: A complex number $\zeta$ that satisfies the equation ${\zeta }^n=1$
• Primitive $𝐧$-th Root of Unity: Any $n$-th root of unity $\zeta$ such that ${\mathsf{\text{𝗈𝗋𝖽}}}_{ℂ}(\zeta )=n$. We denote $P(n)$ as a set of primitive $n$-th root of unity.

A primitive $n$-th root of unity is considered a generator of all $n$ $n$-th roots of unity.