Theorems · Definition · ring theory
GradedAlgHom.toEnd
{R : Type u_1} →
{A : Type u_6} →
{ι : Type u_10} →
[inst : CommSemiring R] →
[inst_1 : Semiring A] →
[inst_2 : Algebra R A] →
[inst_3 : DecidableEq ι] →
[inst_4 : AddMonoid ι] → {𝒜 : ι → Submodule R A} → [inst_5 : GradedAlgebra 𝒜] → (𝒜 →ₐᵍ[R] 𝒜) →* A →ₐ[R] AWe enrich the existing function toAlgHom with the structure of a MonoidHom, to produce a
bundled function that we now call toEnd.
- Defined in
- Mathlib.RingTheory.GradedAlgebra.AlgHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- MonoidHomstatement · cited by 3,629
- AlgHomstatement · cited by 3,236
- AddMonoidstatement and proof · cited by 2,864
- GradedAlgebrastatement and proof · cited by 97
- GradedAlgHomstatement · cited by 52
- GradedAlgHom.toAlgHomproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- GradedAlgHom.toEnd_applystatement and proof · cited by 0