Krull intersection theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Noetherian local rings
integral domains
gptkbp:concerns gptkb:Noetherian_rings
ideals
intersection of powers of an ideal
gptkbp:field gptkb:commutative_algebra
https://www.w3.org/2000/01/rdf-schema#label Krull intersection theorem
gptkbp:namedAfter gptkb:Wolfgang_Krull
gptkbp:publishedIn gptkb:Mathematische_Zeitschrift
gptkbp:sentence In a Noetherian local ring R with maximal ideal m, the intersection of all powers of m is zero.
gptkbp:year 1932
gptkbp:bfsParent gptkb:Wolfgang_Krull
gptkbp:bfsLayer 5