Namespaces
Variants
Actions

Difference between revisions of "Global field"

From Encyclopedia of Mathematics
Jump to: navigation, search
(expand and link definitions)
m (Added category TEXdone)
Line 1: Line 1:
 +
{{TEX|done}}
 
A field that is either a finite degree [[field extension]] of the field of [[rational function]]s in one variable over a [[finite field]] of constants or a finite extension of the field $\mathbb{Q}$ of [[rational number]]s (an [[algebraic number field]]).
 
A field that is either a finite degree [[field extension]] of the field of [[rational function]]s in one variable over a [[finite field]] of constants or a finite extension of the field $\mathbb{Q}$ of [[rational number]]s (an [[algebraic number field]]).
  

Revision as of 13:40, 12 December 2013

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=30314
This article was adapted from an original article by V.L. Popov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article