# Global field

From Encyclopedia of Mathematics

A field that is either a finite extension of the field of rational functions in one variable over a finite field of constants or a finite extension of the field of rational numbers.

#### 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=13859

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