Definition:Frobenius Endomorphism
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Definition
Let $p$ be a prime number.
Let $R$ be a commutative ring with unity of characteristic $p$.
The Frobenius endomorphism is the ring endomorphism $\Frob: R \to R$ defined as:
- $\forall x \in R: \map \Frob x = x^p$
Also see
Source of Name
This entry was named for Ferdinand Georg Frobenius.