Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
Category of rings
|
| gptkbp:defines |
A bijective ring homomorphism
|
| gptkbp:designer |
gptkb:Ring_isomorphism
|
| gptkbp:example |
Z and 2Z × 2Z are not isomorphic as rings
Z/6Z and Z/2Z × Z/3Z are isomorphic as rings |
| gptkbp:field |
gptkb:Abstract_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ring isomorphism
|
| gptkbp:implies |
Rings are structurally identical
|
| gptkbp:preserves |
Addition
Multiplication Additive identity Multiplicative identity (if present) |
| gptkbp:relatedTo |
gptkb:Isomorphism
gptkb:Ring_(mathematics) |
| gptkbp:requires |
gptkb:Ring_homomorphism
Bijective mapping |
| gptkbp:symbol |
≅
|
| gptkbp:usedIn |
Classification of rings
|
| gptkbp:bfsParent |
gptkb:Isomorphism
|
| gptkbp:bfsLayer |
6
|