Mathlib Map

Theorems · Definition · ring theory

AddMonoidAlgebra.mapRingHom

{R : Type u_3} →
  {S : Type u_4} →
    (M : Type u_6) →
      [inst : Semiring R] →
        [inst_1 : Semiring S] → [inst_2 : AddMonoid M] → (R →+* S) → AddMonoidAlgebra R M →+* AddMonoidAlgebra S M

The ring homomorphism of additive monoid algebras induced by a homomorphism of the base rings.

Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
17 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSemiringAddMonoid

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvPolynomial.map · cited by 147MvPolynomial.mapAddMonoidAlgebra.mapRingHom_single · cited by 13AddMonoidAlgebra.mapRingH…AddMonoidAlgebra.mapAlgHom · cited by 12AddMonoidAlgebra.mapAlgHomMvPolynomial.algebraMvPolynomial · cited by 6MvPolynomial.algebraMvPol…AddMonoidAlgebra.mapRingEquiv · cited by 5AddMonoidAlgebra.mapRingE…AddMonoidAlgebra.coeff_mapRingHom · cited by 4AddMonoidAlgebra.coeff_ma…AddMonoidAlgebra.algebraAddMonoidAlgebra · cited by 2AddMonoidAlgebra.algebraA…AddMonoidAlgebra.coeff_mapRingEquiv · cited by 1AddMonoidAlgebra.coeff_ma…AddMonoidAlgebra.lift_mapRingHom_algebraMap · cited by 1AddMonoidAlgebra.lift_map…AddMonoidAlgebra.mapRingHom_comp · cited by 1AddMonoidAlgebra.mapRingH…AddMonoidAlgebra.mapAlgEquiv_trans · cited by 1AddMonoidAlgebra.mapAlgEq…AddMonoidAlgebra.comulAlgHom_comp_mapRingHom · cited by 0AddMonoidAlgebra.comulAlg…AddMonoidAlgebra.counitAlgHom_comp_mapRingHom · cited by 0AddMonoidAlgebra.counitAl…AddMonoidAlgebra.algebraMap_def · cited by 0AddMonoidAlgebra.algebraM…AddMonoidAlgebra.lift_mapRangeRingHom_algebraMap · cited by 0AddMonoidAlgebra.lift_map…Semiring · cited by 13802SemiringRingHom · cited by 10189RingHomAddMonoid · cited by 2864AddMonoidAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…AddMonoidAlgebra.map · cited by 21AddMonoidAlgebra.mapAddMonoidAlgebra.map_one · cited by 0AddMonoidAlgebra.map_oneAddMonoidAlgebra.mapRingHomCITED BYCITES

Cites7

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

Cited by22

Results whose statement or proof uses this declaration.