Definition:Two Ring

Definition
Let $\left({\Z_2, +_2, \times_2}\right)$ be the ring of integers modulo $2$.

Then $\left({\Z_2, +_2, \times_2}\right)$ is referred to as the two ring.

In compliance with its name, it is often simply denoted $2$ or $\mathbf 2$, if no confusion can arise.

Also known as
The two ring is also called the ring with two elements or the two-element ring.