Theorems · Definition · commutative algebra
AlgHom.toUnder
{R : CommRingCat} →
{A B : Type u} →
[inst : CommRing A] →
[inst_1 : CommRing B] →
[inst_2 : Algebra (↑R) A] → [inst_3 : Algebra (↑R) B] → (A →ₐ[↑R] B) → (R.mkUnder A ⟶ R.mkUnder B)Make a morphism in Under R from an algebra map.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- AlgHomstatement and proof · cited by 3,236
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgHom.toRingHomproof · cited by 490
- CategoryTheory.Understatement · cited by 276
- CommRingCat.ofHomproof · cited by 259
- CategoryTheory.Under.homMkproof · cited by 43
- CommRingCat.mkUnderstatement · cited by 24
Cited by19
Results whose statement or proof uses this declaration.
- commAlgCatEquivUnderproof · cited by 9
- CommRingCat.tensorProdproof · cited by 7
- CommRingCat.Under.equalizerForkproof · cited by 3
- AlgEquiv.toUnderproof · cited by 3
- CommRingCat.Under.equalizerFork'statement and proof · cited by 1
- CommRingCat.Under.equalizer_compstatement · cited by 1
- CommRingCat.Under.tensorProdEqualizerproof · cited by 1
- CommRingCat.Under.equalizerFork'IsLimitstatement and proof · cited by 0
- CommRingCat.Under.equalizerFork'_ιstatement · cited by 0
- CommRingCat.Under.equalizerFork_ιstatement · cited by 0
- commAlgCatEquivUnder_counitIsostatement · cited by 0