Theorems · Definition · commutative algebra

IsAdjoinRoot.root

{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

(h : IsAdjoinRoot S f).root is the root of f that can be adjoined to generate S.

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

34 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra