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)
|
| 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:Nakayama's_lemma
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobson radical
|