Root of Unity/Examples/Cube Root

Examples of Roots of Unity

Let $F$ be a field.


The cube roots of unity of $F$ are defined as:

$U_3 = \set {z \in F: z^3 = 1}$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): root of unity
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): root of unity