Field theory and polynomials Field extensions Concept
Splitting field
Summary
A splitting field of a polynomial over a field is a smallest extension field over which the polynomial splits into linear factors. It is generated by the roots of the polynomial. The definition of a splitting field states it.
Where this leads
3 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Splitting_field, lead section
About this page
| Tag | 0KXQKX9P63 |
|---|---|
| URI | m2://0KXQKX9P63 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 12F05 |
| Specializes | Normal extension |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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