Theorems · Definition · ring theory
MonoidAlgebra.mapRingHom
{R : Type u_3} →
{S : Type u_4} →
(M : Type u_6) →
[inst : Semiring R] →
[inst_1 : Semiring S] → [inst_2 : Monoid M] → (R →+* S) → MonoidAlgebra R M →+* MonoidAlgebra S MThe ring homomorphism of monoid algebras induced by a homomorphism of the base rings.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 27 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
- Monoidstatement and proof · cited by 3,887
- MonoidAlgebrastatement · cited by 590
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- MonoidAlgebra.mapproof · cited by 17
- MonoidAlgebra.map_oneproof · cited by 0
Cited by31
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapAlgHomproof · cited by 13
- MonoidAlgebra.mapRingEquivproof · cited by 11
- MonoidAlgebra.mapRingHom_singlestatement · cited by 11
- MonoidAlgebra.coeff_mapRingHomstatement · cited by 6
- MonoidAlgebra.coeff_mapRingEquivproof · cited by 3
- MonoidAlgebra.algebraMonoidAlgebraproof · cited by 2
- MonoidAlgebra.mapRingHom_compstatement and proof · cited by 2
- MonoidAlgebra.lift_mapRingHom_algebraMapstatement and proof · cited by 1
- MonoidAlgebra.mapAlgEquiv_transproof · cited by 1
- MonoidAlgebra.mapRingEquiv_singleproof · cited by 1
- MonoidAlgebra.mapRingHom_comp_algebraMapstatement and proof · cited by 1
- MonoidAlgebra.mapRingHom_comp_mapDomainRingHomstatement and proof · cited by 1