Krull's principal ideal theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Noetherian_rings
|
| gptkbp:concerns |
height of ideals
prime ideals principal ideals |
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Krull's principal ideal theorem
|
| gptkbp:namedAfter |
gptkb:Wolfgang_Krull
|
| gptkbp:publishedIn |
gptkb:Mathematische_Zeitschrift
|
| gptkbp:state |
In a Noetherian ring, every minimal prime ideal over a principal ideal has height at most one.
|
| gptkbp:year |
1929
|
| gptkbp:bfsParent |
gptkb:Wolfgang_Krull
gptkb:commutative_algebra |
| gptkbp:bfsLayer |
5
|