Global field
In mathematics, a global field is one of two type of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields:
* Algebraic number field: A finite extension of
* Global function field: The function field of an algebraic curve over a finite field, equivalently, a finite extension of , the field of rational functions in one variable over the finite field with elements. An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s.
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Global field
In mathematics, a global field is one of two type of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields:
* Algebraic number field: A finite extension of
* Global function field: The function field of an algebraic curve over a finite field, equivalently, a finite extension of , the field of rational functions in one variable over the finite field with elements. An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s.
has abstract
Ciała globalne – skończone roz ...... obalnymi cialami funkcyjnymi).
@pl
En matematiko, la termino mall ...... Mordell estas frapa ekzemplo.
@eo
En mathématiques, un corps glo ...... celui des corps de fonctions.
@fr
Globale Körper sind die zentra ...... lständigungen globaler Körper.
@de
In de algebraïsche getaltheori ...... ge lichaam/veld met elementen.
@nl
In mathematics, a global field ...... d George Whaples in the 1940s.
@en
Глобальное поле — это поле одн ...... ана Эмилем Артином и в 1940-м.
@ru
数学において、大域体（たいいきたい、英: global fi ...... も、数体の場合を函数体の場合へ帰着させるテクニックを使った。
@ja
整體域是代數數論研究的主要對象，分成兩類：
* 數域：即有 ...... 數域的情形。模型論上也有手法能將一些函數域的性質轉移至數域。
@zh
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Ciała globalne – skończone roz ...... obalnymi cialami funkcyjnymi).
@pl
En matematiko, la termino mall ...... a formulo por ne-nulaj eroj x:
@eo
En mathématiques, un corps glo ...... via la théorie des valuations.
@fr
Globale Körper sind die zentra ...... lständigungen globaler Körper.
@de
In de algebraïsche getaltheori ...... verschillende zaken verstaan:
@nl
In mathematics, a global field ...... d George Whaples in the 1940s.
@en
Глобальное поле — это поле одн ...... ана Эмилем Артином и в 1940-м.
@ru
数学において、大域体（たいいきたい、英: global fi ...... も、数体の場合を函数体の場合へ帰着させるテクニックを使った。
@ja
整體域是代數數論研究的主要對象，分成兩類：
* 數域：即有 ...... 數域的情形。模型論上也有手法能將一些函數域的性質轉移至數域。
@zh
label
Ciało globalne
@pl
Corps global
@fr
Globaal lichaam (Ned) / Globaal veld (Be)
@nl
Global field
@en
Globaler Körper
@de
Malloka korpo
@eo
Глобальное поле
@ru
大域体
@ja
整體域
@zh
대역체
@ko