# Commutative ring detail

## Name: Real numbers: $\mathbb R$

Description: Let $X$ be the set of all Cauchy sequences from the rationals $\mathbb Q$. Two sequences are equivalent if they converge to the same point. The real numbers are the equivalence classes.

Notes: largest Archimedian field

Keywords equivalence relation

Reference(s):

• (Citation needed)

• This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: