Theorems · Inductive type · ring theory

GradedAlgHom

(R : Type u_1) →
  {A : Type u_2} →
    {B : Type u_3} →
      {ι : Type u_4} →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Semiring B] →
              [inst_3 : Algebra R A] →
                [inst_4 : Algebra R B] →
                  [inst_5 : DecidableEq ι] →
                    [inst_6 : AddMonoid ι] →
                      (𝒜 : ι → Submodule R A) →
                        (ℬ : ι → Submodule R B) → [GradedAlgebra 𝒜] → [GradedAlgebra ℬ] → Type (max u_2 u_3)

An R-linear homomorphism of graded algebras, denoted 𝒜 →ₐᵍ[R] ℬ.

Defined in

Mathlib.RingTheory.GradedAlgebra.AlgHom

Cited by

52 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraDecidableEqAddMonoidGradedAlgebraGradedAlgebra