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Analytically normal ring : ウィキペディア英語版
Analytically normal ring
In algebra, an analytically normal ring is a local ring whose completion is a normal ring, in other words a domain that is integrally closed in its quotient field.
proved that if a local ring of an algebraic variety is normal, then it is analytically normal, which is in some sense a variation of Zariski's main theorem. gave an example of a normal Noetherian local ring that is analytically reducible and therefore not analytically normal.
== References ==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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