Hilbert's Nullstellensatz

URI: https://gptkb.org/entity/Hilbert's_Nullstellensatz

GPTKB entity

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Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:appliesTo	algebraically closed fields
gptkbp:category	theorems in algebraic geometry theorems in commutative algebra
gptkbp:countryOfPublication	gptkb:German
gptkbp:field	gptkb:algebraic_geometry gptkb:commutative_algebra
gptkbp:hasVersion	gptkb:strong_Nullstellensatz gptkb:weak_Nullstellensatz
https://www.w3.org/2000/01/rdf-schema#label	Hilbert's Nullstellensatz
gptkbp:implies	correspondence between radical ideals and algebraic sets
gptkbp:namedAfter	gptkb:David_Hilbert
gptkbp:publishedIn	gptkb:Mathematische_Annalen
gptkbp:relatedConcept	gptkb:Hilbert's_basis_theorem gptkb:Zariski_topology gptkb:algebraic_geometry affine variety algebraic set polynomial ring radical of an ideal
gptkbp:sentence	Describes the relationship between ideals in polynomial rings and algebraic sets
gptkbp:usedIn	proof of the fundamental theorem of algebraic geometry
gptkbp:yearProposed	1893
gptkbp:bfsParent	gptkb:David_Hilbert
gptkbp:bfsLayer	3