---
tag: 0GFGHRT2FJ
kind: concept
name: Subfield
msc: [12F99]
sources:
  - url: https://en.wikipedia.org/wiki/Field_extension
    locator: Subfield
---

## Summary

A subfield of a field is a subset that is a field with the same addition and multiplication.
The [[definition of a subfield|07QY5RPFBR]] lists the closure conditions.