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Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
algebraically closed fields
|
| gptkbp:author |
gptkb:David_Hilbert
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
strong Nullstellensatz
|
| gptkbp:implies |
gptkb:weak_Nullstellensatz
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
gptkb:Emmy_Noether |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Hilbert's_Nullstellensatz
|
| gptkbp:state |
If k is an algebraically closed field and I is an ideal in k[x_1,...,x_n], then the radical of I equals the set of all polynomials vanishing on the common zeros of I in k^n.
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
computational algebra theory of polynomial equations |
| gptkbp:year |
1893
|
| gptkbp:bfsParent |
gptkb:Hilbert's_Nullstellensatz
|
| gptkbp:bfsLayer |
4
|