## You are here

Homecomposite field

## Primary tabs

# composite field

Let $\{K_{\alpha}\}$, $\alpha\in J$, be a collection of subfields of a field $L$. The composite field of the collection is the smallest subfield of $L$ that contains all the fields $K_{\alpha}$.

The notation $K_{1}K_{2}$ (resp., $K_{1}K_{2}\dots K_{n}$) is often used to denote the composite field of two (resp., finitely many) fields.

Synonym:

compositum, composite extension

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

12F99*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections