field of rational functions over a field
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Field
|
| gptkbp:alsoKnownAs |
rational function field
|
| gptkbp:builtBy |
gptkb:Field
polynomial ring |
| gptkbp:characteristic |
same as base field
|
| gptkbp:contains |
base field
|
| gptkbp:containsElement |
fractions of polynomials
|
| gptkbp:example |
C(x)
Q(x) F_p(x) R(x) |
| https://www.w3.org/2000/01/rdf-schema#label |
field of rational functions over a field
|
| gptkbp:isFinite |
true
|
| gptkbp:notation |
F(x)
K(x) |
| gptkbp:property |
smallest field containing base field and x
|
| gptkbp:quotientFieldOf |
polynomial ring over field
|
| gptkbp:transcendenceDegree |
1
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
field theory algebraic function fields |
| gptkbp:bfsParent |
gptkb:infinite_field_F
|
| gptkbp:bfsLayer |
7
|