Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.toSubmoduleEquiv

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] → (S : NonUnitalSubalgebra R A) → ↥S.toSubmodule ≃ₗ[R] ↥S

Linear equivalence between S : Submodule R A and S. Though these types are equal, we define it as a LinearEquiv to avoid type equalities.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModule