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.

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

When the context is clear, the two ring can be, and often is, referred to as the two or just two.

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