Theorems · Definition · commutative algebra

MvPolynomial.killCompl

{σ : Type u_1} →
  {τ : Type u_2} →
    {R : Type u_4} →
      [inst : CommSemiring R] → {f : σ → τ} → Function.Injective f → MvPolynomial τ R →ₐ[R] MvPolynomial σ R

Given a function between sets of variables f : σ → τ that is injective with proof hf, MvPolynomial.killCompl hf is the AlgHom from R[τ] to R[σ] that is left inverse to rename f : R[σ] → R[τ] and sends the variables in the complement of the range of f to 0.

Defined in

Mathlib.Algebra.MvPolynomial.Rename

Cited by

15 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiring