Mathlib Map

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.

Defined in
Mathlib.Algebra.Category.CommAlgCat.Basic
Cited by
33 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
CommRingCommRingAlgebra

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.