Theorems · Definition · commutative algebra

IsAdjoinRoot.repr

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] →
      [inst_1 : Ring S] → {f : Polynomial R} → [inst_2 : Algebra R S] → IsAdjoinRoot S f → S → Polynomial R

Choose an arbitrary representative so that h.map (h.repr x) = x. If f is monic, use IsAdjoinRootMonic.modByMonicHom for a unique choice of representative.

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

11 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra