Theorems · Definition · ring theory

Unitization.linearEquiv

(S : Type u_2) →
  (R : Type u_3) →
    (A : Type u_4) →
      [inst : Semiring S] →
        [inst_1 : AddCommMonoid R] →
          [inst_2 : AddCommMonoid A] → [inst_3 : Module S R] → [inst_4 : Module S A] → Unitization R A ≃ₗ[S] R × A

The identity map between Unitization R A and R × A as a LinearEquiv.

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

4 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule