Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative ring
|
| gptkbp:defines |
the supremum of the lengths of all chains of prime ideals in a ring
|
| gptkbp:example |
polynomial ring in n variables over a field has Krull dimension n
field has Krull dimension 0 |
| gptkbp:field |
gptkb:commutative_algebra
|
| gptkbp:generalizes |
vector space dimension
|
| gptkbp:hasProperty |
Noetherian ring
integral domain |
| https://www.w3.org/2000/01/rdf-schema#label |
Krull dimension
|
| gptkbp:minimumPressure |
0
|
| gptkbp:namedAfter |
gptkb:Wolfgang_Krull
|
| gptkbp:notation |
dim(R)
|
| gptkbp:relatedTo |
dimension theory
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
ring theory |
| gptkbp:bfsParent |
gptkb:Wolfgang_Krull
gptkb:commutative_algebra gptkb:Gelfand–Kirillov_dimension |
| gptkbp:bfsLayer |
5
|