Chinese remainder theorem for rings
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative rings
ideals |
| gptkbp:author |
ancient Chinese mathematicians
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:formedBy |
20th century
|
| gptkbp:generalizes |
Chinese remainder theorem for integers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chinese remainder theorem for rings
|
| gptkbp:relatedTo |
isomorphism theorems
coprime ideals direct product of rings |
| gptkbp:seeAlso |
gptkb:Chinese_remainder_theorem_for_polynomials
|
| 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
module theory ring theory |
| gptkbp:bfsParent |
gptkb:Chinese_remainder_theorem
|
| gptkbp:bfsLayer |
6
|