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Frobenius endomorphisms

Frobenius endomorphisms is the plural of Frobenius endomorphism.

Meaning of Frobenius endomorphism

Noun

Frobenius endomorphism (plural Frobenius endomorphisms)

  1. (commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → xᵖ for all x ∈ R.
    • Section 3 concerns what properties of the ring other than regularity are reflected by the homological properties of the Frobenius endomorphism.2003, Claudia Miller, “The Frobenius endomorphism and homological dimensions”, in Luchezar L. Avramov, Marc Chardin, Marcel Morales, Claudia Polini, editors, Commutative Algebra: Interactions with...
    Synonyms:
    Frobenius homomorphism

Questions about Frobenius endomorphisms

What is Frobenius endomorphisms the plural of?
Frobenius endomorphisms is the plural of Frobenius endomorphism.

Words near Frobenius endomorphisms in the dictionary

  1. Frobenioids
  2. Frobenius
  3. Frobenius covariant
  4. Frobenius covariants
  5. Frobenius endomorphism
  6. Frobenius endomorphisms
  7. Frobenius number
  8. Frobenius numbers
  9. Froberg
  10. Frobergs
  11. Frobisher

Source and license

Adapted from Wiktionary: Frobenius endomorphisms (page history and authors); Frobenius endomorphism (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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