Theorems · Definition · ring theory

MonoidAlgebra.map

{R : Type u_3} →
  {S : Type u_4} →
    {M : Type u_6} → [inst : Semiring R] → [inst_1 : Semiring S] → (R →+ S) → MonoidAlgebra R M → MonoidAlgebra S M

Given a map f : R →+ S, return the corresponding map R[M] → S[M] obtained by mapping each coefficient along f.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

17 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiring