nilradical (in commutative rings)
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
ideal |
| gptkbp:contains |
Jacobson radical (in general)
all nilpotent elements |
| gptkbp:definedIn |
commutative ring
|
| gptkbp:equivalentTo |
intersection of all prime ideals of the ring
|
| gptkbp:hasSubgroup |
gptkb:King
|
| gptkbp:heldBy |
set of all nilpotent elements of a commutative ring
|
| https://www.w3.org/2000/01/rdf-schema#label |
nilradical (in commutative rings)
|
| gptkbp:isIdealOf |
commutative ring
|
| gptkbp:isRadicalOf |
zero ideal
|
| gptkbp:symbol |
Nil(R)
|
| gptkbp:bfsParent |
gptkb:Jacobson_radical
|
| gptkbp:bfsLayer |
6
|