Frobenius endomorphism
Summary
The Frobenius endomorphism of a commutative ring of prime characteristic is the map that sends each element to its -th power. It is a ring homomorphism. The definition of the Frobenius endomorphism gives the details.
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Frobenius_endomorphism, lead section
About this page
| Tag | 0T3WVTD675 |
|---|---|
| URI | m2://0T3WVTD675 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 13A35 |
| Specializes | Ring homomorphism |
| 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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What links here
Special cases
Definitions
Used by
- Near-field
- Difference algebra
- Kunz's theorem
- Perfectoid space
- Grothendieck–Lefschetz trace formula
- Group of Lie type
- Kummer–Artin–Schreier–Witt theory
- Tight closure