---
tag: 04C5ZBG1WT
kind: concept
name: Field
msc: ["12E99"]
sources:
  - url: https://en.wikipedia.org/wiki/Field_(mathematics)
    locator: lead section
same_as:
  wikidata: Q190109
  wikipedia: Field (mathematics)
---

## Summary

A field is a commutative ring in which you can divide by every nonzero element.
The rational numbers, the real numbers and the complex numbers are fields.
The [[definition of a field|0QA8CHH8MG]] gives the axioms.