Theorems · Inductive type · category theory
CommAlgCat
(R : Type u) → [CommRing R] → Type (max u (v + 1))
The category of R-algebras and their morphisms.
- Cited by
- 96 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
Cited by146
Results whose statement or proof uses this declaration.
- CommAlgCat.carrierstatement and proof · cited by 77
- CommAlgCat.Hom.homstatement and proof · cited by 39
- CommAlgCat.ofstatement · cited by 33
- CommAlgCat.ofHomstatement · cited by 24
- AlgebraicGeometry.algSpecstatement · cited by 13
- CommAlgCat.finiteEtalestatement · cited by 11
- commAlgCatEquivUnderstatement and proof · cited by 9
- commBialgCatEquivComonCommAlgCatstatement and proof · cited by 9
- commHopfAlgCatEquivCogrpCommAlgCatstatement and proof · cited by 6
- CommAlgCat.isoMkstatement · cited by 4
- CommAlgCat.FiniteEtale.equivOfIsSepClosedstatement · cited by 3
- CommAlgCat.FiniteEtale.finiteSpecstatement · cited by 3