Noetherian rings

E157398 UNEXPLORED

Noetherian rings are a fundamental class of rings in commutative algebra characterized by the property that every ascending chain of ideals stabilizes, ensuring that all ideals are finitely generated.

Observed surface forms (2)

Surface form	As subject	As object
Noetherian ring	0	4
Noetherian ring theory	0	1

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Noetherian induction → appliesTo → Noetherian rings →

this entity surface form: "Noetherian ring"

Noetherian module → generalizes → Noetherian rings →

this entity surface form: "Noetherian ring"

Emmy → knownFor → Noetherian rings →

subject surface form: "Emmy Noether"

Noetherian space → relatedTo → Noetherian rings →

this entity surface form: "Noetherian ring"

Noetherian module → studiedIn → Noetherian rings →

this entity surface form: "Noetherian ring theory"

Hilbert basis theorem → usesConcept → Noetherian rings →

this entity surface form: "Noetherian ring"