Weierstrass preparation theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
power series rings
analytic functions near a point |
| gptkbp:describes |
factorization of analytic functions
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra complex analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Weierstrass preparation theorem
|
| gptkbp:language |
gptkb:mathematics
|
| gptkbp:namedAfter |
gptkb:Karl_Weierstrass
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
gptkb:Weierstrass_division_theorem
analytic local ring |
| gptkbp:state |
a formal power series can be written as a product of a unit and a distinguished polynomial
|
| gptkbp:usedIn |
singularity theory
local analytic geometry |
| gptkbp:bfsParent |
gptkb:Karl_Weierstrass
|
| gptkbp:bfsLayer |
5
|