# Global field

From Encyclopedia of Mathematics

2020 Mathematics Subject Classification: *Primary:* 11R [MSN][ZBL]

A field that is either a finite degree field extension of the field of rational functions in one variable over a finite field of constants or a finite extension of the field $\mathbb{Q}$ of rational numbers (an algebraic number field).

#### References

[1] | J.W.S. Cassels (ed.) A. Fröhlich (ed.) , Algebraic number theory , Acad. Press (1986) |

**How to Cite This Entry:**

Global field.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Global_field&oldid=34841

This article was adapted from an original article by V.L. Popov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article