Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Integral_extensions
Prime ideals |
| gptkbp:field |
gptkb:Algebraic_geometry
gptkb:Commutative_algebra |
| gptkbp:firstPublished |
20th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Going-up theorem
|
| gptkbp:relatedTo |
gptkb:Going-down_theorem
|
| gptkbp:state |
If A ⊆ B is an integral extension and P ⊆ Q are prime ideals of A, then there exist prime ideals P' ⊆ Q' of B lying over P ⊆ Q.
|
| gptkbp:usedIn |
Study of ring extensions
Theory of dimension in rings |
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|