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域論

體論(英語:Field theory)是抽象代數的分支,研究的性質。

歷史

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域的概念最初被阿貝爾伽罗瓦用於他們對方程的可解性的工作上。

1871年,理查德·戴德金將對於四則運算封閉的實數複數稱為「體」。

1881年,利奧波德·克羅內克定義了「有理體」(德語:Rationalitäts-Bereich),相當於今稱之数域

1893年,安里西·韋伯給出抽象體的首個清晰定義。

伽罗瓦被視為首個將群論體論連繫起來的數學家。伽罗瓦理论便以他命名。事實上,埃米爾·阿廷在1928至42年間才將群和體的關係大大發展並紀錄。

用途

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域論
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