let r be a commutative ring of prime characteristic p show that the function f r r defined by fa

Name: let r be a commutative ring of prime characteristic p show that the function f r r defined by fa ap is a ring homomorphism called the frobenius homomorphism of r 84198
Uploaded: 2023-07-04T15:08:39-08:00
Duration: 3 min 31 s
Channel: Adi S
Description: let r be a commutative ring of prime characteristic p show that the function f r r defined by fa ap is a ring homomorphism called the frobenius homomorphism of r 84198

Question

David Nguyen · Accepted Answer

First, we need to show that F is a homomorphism, i.e., it preserves addition and multiplication.

Question

Let R be a commutative ring of prime characteristic p. Show that the function F : R → R defined by F(a) = ap is a ring homomorphism, called the Frobenius homomorphism of R.

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