Theorems · Definition · ring theory

SkewMonoidAlgebra.domLCongr

{k : Type u_1} →
  {G : Type u_2} →
    {H : Type u_3} →
      {A : Type u_4} →
        [inst : Semiring k] →
          [inst_1 : AddCommMonoid A] → [inst_2 : Module k A] → G ≃ H → SkewMonoidAlgebra A G ≃ₗ[k] SkewMonoidAlgebra A H

An equivalence of domains induces a linear equivalence of finitely supported functions. This is domCongr as a LinearEquiv.

Defined in

Mathlib.Algebra.SkewMonoidAlgebra.Lift

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule