Krull's intersection theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Noetherian local rings
|
| gptkbp:field |
gptkb:commutative_algebra
|
| gptkbp:generalizes |
intersection theorem for principal ideal domains
|
| https://www.w3.org/2000/01/rdf-schema#label |
Krull's intersection theorem
|
| gptkbp:namedAfter |
gptkb:Wolfgang_Krull
|
| gptkbp:relevantConcept |
Noetherian ring
local ring maximal ideal ideal |
| gptkbp:sentence |
The intersection of all powers of the maximal ideal in a Noetherian local ring is zero.
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
module theory |
| gptkbp:yearProposed |
1932
|
| gptkbp:bfsParent |
gptkb:Artin–Rees_lemma
gptkb:Nakayama's_lemma |
| gptkbp:bfsLayer |
6
|