# Category:Definitions/Roots of Unity

This category contains definitions related to Roots of Unity.
Related results can be found in Category:Roots of Unity.

Let $n \in \Z_{> 0}$ be a strictly positive integer.

Let $F$ be a field.

The $n$th roots of unity of $F$ are defined as:

$U_n = \left\{{z \in F: z^n = 1}\right\}$

## Subcategories

This category has only the following subcategory.

## Pages in category "Definitions/Roots of Unity"

The following 4 pages are in this category, out of 4 total.