Theorems · Definition · category theory
CommAlgCat.of
(R : Type u) → [inst : CommRing R] → (X : Type v) → [inst_1 : CommRing X] → [Algebra R X] → CommAlgCat R
The object in the category of R-algebras associated to a type equipped with the appropriate
typeclasses. This is the preferred way to construct a term of CommAlgCat R.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- CommAlgCatstatement · cited by 96
Cited by44
Results whose statement or proof uses this declaration.
- CommAlgCat.ofHomstatement · cited by 24
- commAlgCatEquivUnderproof · cited by 9
- commBialgCatEquivComonCommAlgCatproof · cited by 9
- CommAlgCat.FiniteEtale.ofproof · cited by 6
- commHopfAlgCatEquivCogrpCommAlgCatproof · cited by 6
- CommAlgCat.isoMkstatement · cited by 4
- FGAlgCatSkeleton.evalproof · cited by 3
- CommAlgCat.isoEquivAlgEquivstatement · cited by 2
- CommAlgCat.ofHom_applystatement · cited by 0
- CommAlgCat.ofHom_compstatement · cited by 0
- CommAlgCat.ofHom_homstatement · cited by 0
- CommAlgCat.ofHom_idstatement · cited by 0