Theorems · Definition · ring theory

MonoidAlgebra.uniqueLinearEquiv

(R : Type u_1) →
  {S : Type u_2} →
    (M : Type u_3) →
      [inst : Semiring R] →
        [inst_1 : Semiring S] → [inst_2 : Module R S] → [One M] → [Subsingleton M] → MonoidAlgebra S M ≃ₗ[R] S

The trivial monoid algebra is the base ring.

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

11 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModuleOneSubsingleton