Theorems · Definition · ring theory

AddMonoidAlgebra.mapDomainLinearMap

(R : Type u_1) →
  (S : Type u_2) →
    {M : Type u_3} →
      {N : Type u_4} →
        [inst : Semiring R] →
          [inst_1 : Semiring S] → [inst_2 : Module R S] → (M → N) → AddMonoidAlgebra S M →ₗ[R] AddMonoidAlgebra S N

AddMonoidAlgebra.mapDomain as a linear map.

Defined in: Mathlib.Algebra.MonoidAlgebra.Module
Cited by: 3 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring Semiring Module

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
Semiringstatement and proof · cited by 13,802
LinearMapstatement · cited by 10,215
LinearMap.compproof · cited by 1,642
LinearEquiv.symmproof · cited by 1,461
LinearEquiv.toLinearMapproof · cited by 1,171
AddMonoidAlgebrastatement · cited by 649
Finsupp.lmapDomainproof · cited by 63
AddMonoidAlgebra.coeffLinearEquivproof · cited by 15

Cited by3

Results whose statement or proof uses this declaration.

AddMonoidAlgebra.mapDomainLinearMap_singlestatement · cited by 0
AddMonoidAlgebra.coeff_mapDomainLinearMapstatement · cited by 0
AddMonoidAlgebra.mapDomainLinearMap_compstatement · cited by 0