Hilbert Basis Theorem

GPTKB entity

Properties (11)
Predicate Object
gptkbp:instanceOf Theorem
gptkbp:appliesTo Noetherian_rings
gptkbp:description Every ideal in a polynomial ring over a Noetherian ring is finitely generated.
https://www.w3.org/2000/01/rdf-schema#label Hilbert Basis Theorem
gptkbp:isConnectedTo Finitely generated modules
gptkbp:isNamedAfter gptkb:David_Hilbert
gptkbp:isRelatedTo Commutative algebra
Ideal theory
gptkbp:isUsedIn Algebraic_geometry
gptkbp:keyFigures Ring theory
gptkbp:wasPartOf 1888