Frobenius endomorphism

noun

Etymology

Named after German mathematician Ferdinand Georg Frobenius.

Definitions

  1. Given a commutative ring R with prime characteristic p, the endomorphism that maps x → xᵖ…

    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.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA