Theorems · Definition · ring theory
GradedAlgebra.proj
{ι : Type u_1} →
{R : Type u_2} →
{A : Type u_3} →
[inst : DecidableEq ι] →
[inst_1 : AddMonoid ι] →
[inst_2 : CommSemiring R] →
[inst_3 : Semiring A] → [inst_4 : Algebra R A] → (𝒜 : ι → Submodule R A) → [GradedAlgebra 𝒜] → ι → A →ₗ[R] AThe projection maps of graded algebra
- Defined in
- Mathlib.RingTheory.GradedAlgebra.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- AddMonoidstatement and proof · cited by 2,864
- LinearMap.compproof · cited by 1,642
- Submodule.subtypeproof · cited by 480
- AlgEquiv.toAlgHomproof · cited by 273
- AlgHom.toLinearMapproof · cited by 254
- GradedAlgebrastatement and proof · cited by 97
Cited by3
Results whose statement or proof uses this declaration.
- GradedAlgebra.proj_applystatement · cited by 1
- GradedAlgebra.mem_support_iffstatement · cited by 0
- GradedAlgebra.proj_recomposestatement · cited by 0