## You are here

Homesubfield

## Primary tabs

# subfield

Let $F$ be a field and $S$ a subset of $F$ such that $S$ with the inherited operations from $F$ is also a field. Then we say that $S$ is a subfield of $F$.

The name ‘‘subfield’’ is used also in the case that $F$ is only a skew field and its subset $S$ forms a skew field.

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

12E99*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