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Difference between revisions of "Global field"

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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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g044/g044450/g0444501.png" /> of rational numbers.
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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 $\mathbb{Q}$ of rational numbers.
  
 
====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>
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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>
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Revision as of 18:52, 1 September 2013

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 $\mathbb{Q}$ 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