Theorems · Definition · category theory
AlgCat.of
(R : Type u) → [inst : CommRing R] → (X : Type v) → [inst_1 : Ring X] → [Algebra R X] → AlgCat 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 AlgCat R.
- Defined in
- Mathlib.Algebra.Category.AlgCat.Basic
- Cited by
- 23 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by33
Results whose statement or proof uses this declaration.
- AlgCat.ofHomstatement · cited by 16
- AlgCat.restrictScalarsproof · cited by 10
- AlgCat.intEquivalenceproof · cited by 5
- AlgCat.tensorAlgebraproof · cited by 4
- AlgEquiv.toAlgebraIsostatement · cited by 3
- QuadraticModuleCat.cliffordAlgebraproof · cited by 2
- algEquivIsoAlgebraIsostatement and proof · cited by 2
- ModuleCat.MonModuleEquivalenceAlgebra.functorproof · cited by 2
- AlgCat.freeproof · cited by 2
- AlgCat.HasLimits.limitConeproof · cited by 1
- AlgCat.intEquivalence_counitIsostatement · cited by 0
- AlgCat.intEquivalence_inverse_map_homstatement · cited by 0