the ring of polynomials in two variables K[x,y]
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
Noetherian ring commutative ring integral domain |
| gptkbp:centralTo |
K[x,y]
|
| gptkbp:characteristic |
same as K
|
| gptkbp:contains |
K[x]
K[y] |
| gptkbp:definedIn |
gptkb:field_K
|
| https://www.w3.org/2000/01/rdf-schema#label |
the ring of polynomials in two variables K[x,y]
|
| gptkbp:isArtinian |
false
|
| gptkbp:isCountable |
if K is countable
|
| gptkbp:isFinitelyGeneratedAlgebraOver |
K
|
| gptkbp:isLocal |
false
|
| gptkbp:isPID |
false
|
| gptkbp:isSubringOf |
K[x,y,z,...]
|
| gptkbp:isUFD |
true
|
| gptkbp:isUncountable |
if K is uncountable
|
| gptkbp:KrullDimension |
2
|
| gptkbp:variant |
x
y |
| gptkbp:bfsParent |
gptkb:PID_(Principal_Ideal_Domain)
|
| gptkbp:bfsLayer |
6
|