Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:algebraic_geometry
|
| gptkbp:concerns |
gptkb:Noetherian_rings
integral closure prime ideals |
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zariski–Nagata lemma
|
| gptkbp:namedAfter |
gptkb:Oscar_Zariski
gptkb:Masayoshi_Nagata |
| gptkbp:publishedIn |
gptkb:Nagata's_book_'Local_Rings'
|
| gptkbp:state |
The integral closure of a Noetherian domain in a finite field extension is the intersection of the localizations at the maximal ideals lying over a given prime ideal.
|
| gptkbp:bfsParent |
gptkb:Oscar_Zariski
|
| gptkbp:bfsLayer |
6
|