Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
gptkb:Abel's_impossibility_theorem
gptkb:Abel's_theorem_on_algebraic_equations |
| gptkbp:appliesTo |
polynomial equations of degree five or higher
quintic equations |
| gptkbp:field |
gptkb:algebra
gptkb:Galois_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Abel–Ruffini theorem
|
| gptkbp:implies |
Not all polynomial equations can be solved by radicals
|
| gptkbp:namedAfter |
gptkb:Paolo_Ruffini
gptkb:Niels_Henrik_Abel |
| gptkbp:publishedIn |
gptkb:Crelle's_Journal
|
| gptkbp:relatedTo |
gptkb:Galois_theory
solvability by radicals |
| gptkbp:state |
There is no general algebraic solution to polynomial equations of degree five or higher using radicals.
|
| gptkbp:yearProved |
1824
|
| gptkbp:bfsParent |
gptkb:Niels_Henrik_Abel
|
| gptkbp:bfsLayer |
5
|