Definition:Two Ring
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This page is about Two Ring. For other uses, see Two.
Definition
Let $\struct {\Z_2, +_2, \times_2}$ be the ring of integers modulo $2$.
Then $\struct {\Z_2, +_2, \times_2}$ 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.
Also see
Sources
- 2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras ... (previous) ... (next): $\S 1$