Theorems · Definition · commutative algebra

MvPolynomial.aevalTower

{R : Type u} →
  {σ : Type u_1} →
    [inst : CommSemiring R] →
      {S : Type u_2} →
        {A : Type u_3} →
          [inst_1 : CommSemiring S] →
            [inst_2 : CommSemiring A] →
              [inst_3 : Algebra S R] → [inst_4 : Algebra S A] → (R →ₐ[S] A) → (σ → A) → MvPolynomial σ R →ₐ[S] A

Version of aeval for defining algebra homs out of MvPolynomial σ R over a smaller base ring than R.

Defined in

Mathlib.Algebra.MvPolynomial.Eval

Cited by

12 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringAlgebraAlgebra