Theorems · Definition · ring theory

LinearMap.mulLeftRight

(R : Type u_14) →
  {A : Type u_15} →
    [inst : Semiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] → [SMulCommClass R A A] → [IsScalarTower R A A] → A × A → A →ₗ[R] A

Simultaneous multiplication on the left and right is a linear map.

Defined in

Mathlib.Algebra.Module.LinearMap.Defs

Cited by

4 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

SemiringNonUnitalNonAssocSemiringModuleSMulCommClassIsScalarTower