Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
An ideal I of a ring R such that I ≠ R and there is no ideal J with I ⊂ J ⊂ R except J = I or J = R.
|
| gptkbp:example |
(2) in the ring of integers Z
|
| gptkbp:field |
gptkb:Abstract_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Maximal ideal
|
| gptkbp:namedFor |
gptkb:Emmy_Noether
|
| gptkbp:property |
The quotient ring R/I is a simple ring (in commutative case, a field).
|
| gptkbp:relatedTo |
gptkb:Prime_ideal
|
| gptkbp:subclassOf |
gptkb:King
|
| gptkbp:type |
gptkb:Ideal
|
| gptkbp:used_in |
gptkb:Ring_theory
|
| gptkbp:bfsParent |
gptkb:Ideal
|
| gptkbp:bfsLayer |
6
|