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 MThe 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- AddMonoidstatement and proof · cited by 2,864
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- AddMonoidAlgebra.mapproof · cited by 21
- AddMonoidAlgebra.map_oneproof · cited by 0
Cited by22
Results whose statement or proof uses this declaration.
- MvPolynomial.mapproof · cited by 147
- AddMonoidAlgebra.mapRingHom_singlestatement · cited by 13
- AddMonoidAlgebra.mapAlgHomproof · cited by 12
- MvPolynomial.algebraMvPolynomialproof · cited by 6
- AddMonoidAlgebra.mapRingEquivproof · cited by 5
- AddMonoidAlgebra.coeff_mapRingHomstatement · cited by 4
- AddMonoidAlgebra.algebraAddMonoidAlgebraproof · cited by 2
- AddMonoidAlgebra.coeff_mapRingEquivproof · cited by 1
- AddMonoidAlgebra.lift_mapRingHom_algebraMapstatement and proof · cited by 1
- AddMonoidAlgebra.mapRingHom_compstatement and proof · cited by 1
- AddMonoidAlgebra.mapAlgEquiv_transproof · cited by 1
- AddMonoidAlgebra.comulAlgHom_comp_mapRingHomstatement and proof · cited by 0