Definition:Smallest Field

Definition
The smallest field is the set of integers modulo $2$ under modulo addition and modulo multiplication:
 * $\left({\Z_2, +_2, \times_2}\right)$

This field has $2$ elements.

Also see

 * Ring of Integers Modulo 2 is Smallest Field


 * Smallest Field is Field, where it is proved that $\left({\Z_2, +_2, \times_2}\right)$ is a field.