Chinese Remainder Theorem for rings
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative rings with identity
|
| gptkbp:category |
abstract algebra
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:firstPublished |
20th century
|
| gptkbp:generalizes |
Chinese Remainder Theorem for integers
|
| gptkbp:implies |
decomposition of rings modulo coprime ideals
|
| gptkbp:namedAfter |
gptkb:Chinese_Remainder_Theorem
|
| gptkbp:relatedTo |
ideal theory
direct product of rings |
| gptkbp:state |
If I and J are coprime ideals in a commutative ring R, then R/(I ∩ J) ≅ R/I × R/J
|
| gptkbp:usedIn |
algebraic number theory
cryptography module theory ring theory |
| gptkbp:bfsParent |
gptkb:Chinese_Remainder_Theorem
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chinese Remainder Theorem for rings
|