Theorems · Definition · ring theory

LinearMap.toAddHom

{R : Type u_14} →
  {S : Type u_15} →
    [inst : Semiring R] →
      [inst_1 : Semiring S] →
        {σ : R →+* S} →
          {M : Type u_16} →
            {M₂ : Type u_17} →
              [inst_2 : AddCommMonoid M] →
                [inst_3 : AddCommMonoid M₂] → [inst_4 : Module R M] → [inst_5 : Module S M₂] → (M →ₛₗ[σ] M₂) → M →ₙ+ M₂

The AddHom underlying a LinearMap.

Defined in

Mathlib.Algebra.Module.LinearMap.Defs

Cited by

165 results in Mathlib

Foundations

Depth 12 from the axioms, rests on 90 definitions · uses no axioms

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModule