Jacobson radical

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs radical of a ring
gptkbp:appliesTo gptkb:King
gptkbp:defines intersection of all maximal left ideals of a ring
intersection of all maximal right ideals of a ring
gptkbp:field gptkb:algebra
gptkbp:generalizes gptkb:nilradical_(in_commutative_rings)
https://www.w3.org/2000/01/rdf-schema#label Jacobson radical
gptkbp:introducedIn 1945
gptkbp:namedAfter gptkb:Nathan_Jacobson
gptkbp:notation J(R)
gptkbp:property contains all nilpotent elements in a ring
is the largest quasi-regular ideal
two-sided ideal
gptkbp:relatedTo gptkb:commutative_algebra
representation theory
module theory
gptkbp:bfsParent gptkb:noncommutative_geometry
gptkbp:bfsLayer 5