---
tag: 0EAJ2XXADC
kind: concept
name: Degree of a field extension
msc: [12F05]
sources:
  - url: https://en.wikipedia.org/wiki/Degree_of_a_field_extension
    locator: lead section
same_as:
  wikidata: Q3493864
  wikipedia: Degree of a field extension
---

## Summary

The degree of a field extension $L/K$ is the dimension of $L$ as a vector space over $K$.
It is written $[L : K]$.
The [[definition of the degree|0GS74FGFEK]] states it.