Category:Definitions/Frobenius Endomorphisms

This category contains definitions related to Frobenius Endomorphisms.
Related results can be found in Category:Frobenius Endomorphisms.

Let $p$ be a prime number.

Let $R$ be a commutative ring with unity of characteristic $p$.

The Frobenius endomorphism on $R$ is the ring endomorphism $\Frob: R \to R$ defined as:

$\forall x \in R: \map \Frob x = x^p$