# Difference between revisions of "Global field"

From Encyclopedia of Mathematics

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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]]). | ||

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<TR><TD valign="top">[1]</TD> <TD valign="top"> J.W.S. Cassels (ed.) A. Fröhlich (ed.) , ''Algebraic number theory'' , Acad. Press (1986)</TD></TR> | <TR><TD valign="top">[1]</TD> <TD valign="top"> J.W.S. Cassels (ed.) A. Fröhlich (ed.) , ''Algebraic number theory'' , Acad. Press (1986)</TD></TR> | ||

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## Latest revision as of 20:59, 22 November 2014

2010 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