Frobenius endomorphism

Noun

Meaning

Frobenius endomorphism (plural Frobenius endomorphisms)

(algebra, commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → x for all x ∈ R.

Source: en.wiktionary.org

Synonyms

frobenius homomorphism

Related terms

Frobenius automorphism Frobenius closure Frobenius element Frobenius morphism

Examples

The Galois group of every finite extension of a finite field is finite and cyclic, with an iterate of the Frobenius endomorphism as its generator. Source: Internet

Close letter words and terms

Frobenius closure Frobenius covariant Frobenius element frobenius homomorphism Frobenius morphism Frobenius number