Field theory and polynomials Field extensions Concept
Field extension
Summary
A field extension is a pair of fields , where is a subfield of . One writes and says that is an extension of . The definition of a field extension gives the details.
Where this leads
6 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Field_extension, lead section
About this page
| Tag | 0EQWVHF3W5 |
|---|---|
| URI | m2://0EQWVHF3W5 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 12F05 |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Simple extension
- Algebraic extension
- Transcendental extension
- Picard–Vessiot extension
- Radical extension