Difference between revisions of "Global field"
From Encyclopedia of Mathematics
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| − | A field that is either a finite extension of the field of rational | + | {{TEX|done}}{{MSC|11R}} |
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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]]). | ||
====References==== | ====References==== | ||
| − | <table><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></table> | + | <table> |
| + | <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> | ||
| + | </table> | ||
Latest revision as of 20:59, 22 November 2014
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=13859
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