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solvable by radicals
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(Definition)
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Let $F$ be a field and $f(x) \in F[x]$ 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 $K[x]$
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"solvable by radicals" is owned by Wkbj79.
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Cross-references: factors, radical extension, field
There are 2 references to this entry.
This is version 2 of solvable by radicals, born on 2007-04-14, modified 2007-04-14.
Object id is 9191, canonical name is SolvableByRadicals.
Accessed 2397 times total.
Classification:
| AMS MSC: | 12F10 (Field theory and polynomials :: Field extensions :: Separable extensions, Galois theory) |
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Pending Errata and Addenda
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