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
|