Properties (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
Noetherian rings.
|
| gptkbp:description |
every ideal in a Noetherian ring is finitely generated.
|
| gptkbp:hasInventor |
module theory.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's basis theorem
|
| gptkbp:isAssociatedWith |
abstract algebra.
|
| gptkbp:isAvenueFor |
computational algebra.
|
| gptkbp:isCitedIn |
many mathematical papers.
|
| gptkbp:isConnectedTo |
the concept of dimension in algebra.
|
| gptkbp:isConsidered |
a cornerstone of algebraic theory.
|
| gptkbp:isPartOf |
the foundation of modern algebra.
|
| gptkbp:isRelatedTo |
commutative algebra.
ideal theory. the study of polynomial rings. Hilbert's_Nullstellensatz. |
| gptkbp:isUsedBy |
the structure of finitely generated modules.
|
| gptkbp:isUsedIn |
algebraic geometry.
|
| gptkbp:isUtilizedFor |
understanding_Noetherian_properties.
|
| gptkbp:isVisitedBy |
using_Zorn's_lemma.
|
| gptkbp:keyFigures |
ring theory.
|
| gptkbp:namedAfter |
David_Hilbert.
|