---
tag: 0PTBM7K0R2
kind: concept
name: Algebraic extension
msc: [12F05]
sources:
  - url: https://en.wikipedia.org/wiki/Algebraic_extension
    locator: lead section
same_as:
  wikidata: Q550791
  wikipedia: Algebraic extension
---

## Summary

An algebraic extension is a field extension in which every element of the larger field is algebraic over the smaller field.
The [[definition of an algebraic extension|09EYMKMSB9]] states it.