Global field

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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).


[1] J.W.S. Cassels (ed.) A. Fröhlich (ed.) , Algebraic number theory , Acad. Press (1986)
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Global field. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.L. Popov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article