---
tag: 0NQMZ89X4A
kind: concept
name: Transcendental element
msc: [12F20]
sources:
  - url: https://en.wikipedia.org/wiki/Algebraic_element
    locator: lead section
---

## Summary

An element of a field extension is transcendental over the smaller field if it is not algebraic over it.
The [[definition of a transcendental element|00SW8B91E7]] states it.