Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
universally Japanese ring
|
| gptkbp:citation |
gptkb:Matsumura,_Commutative_Ring_Theory
Nagata, Local Rings |
| gptkbp:defines |
A Noetherian ring such that for every prime ideal P, the integral closure of the quotient ring R/P in its field of fractions is a finite R/P-module.
|
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Nagata ring
|
| gptkbp:importantFor |
used in the proof of Zariski's Main Theorem
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:isA |
Noetherian ring
|
| gptkbp:namedAfter |
gptkb:Masayoshi_Nagata
|
| gptkbp:property |
integral closure of finitely generated algebras is finite
|
| gptkbp:relatedTo |
Japanese ring
excellent ring |
| gptkbp:bfsParent |
gptkb:Masayoshi_Nagata
|
| gptkbp:bfsLayer |
5
|