solvable by radicals
Let F be a field and f(x)∈F[x]. Then f(x) is solvable by radicals if there exists a radical extension K/F such that f(x) factors into linears when considered as an element of K[x].
Title | solvable by radicals |
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Canonical name | SolvableByRadicals |
Date of creation | 2013-03-22 16:55:39 |
Last modified on | 2013-03-22 16:55:39 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 5 |
Author | Wkbj79 (1863) |
Entry type | Definition |
Classification | msc 12F10 |
Synonym | solvability by radicals |
Synonym | solvable polynomial |
Related topic | Radical5 |
Related topic | RadicalExtension |