Theorems · Definition · category theory
ModuleCat.MonModuleEquivalenceAlgebra.inverse
{R : Type u} → [inst : CommRing R] → CategoryTheory.Functor (AlgCat R) (CategoryTheory.Mon (ModuleCat R))Converting a bundled algebra to a monoid object in ModuleCat R.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- ModuleCatstatement · cited by 1,429
- ModuleCat.ofproof · cited by 594
- CategoryTheory.Monstatement · cited by 465
- AlgHom.toLinearMapproof · cited by 254
- ModuleCat.ofHomproof · cited by 200
- AlgCatstatement and proof · cited by 75
- AlgCat.carrierproof · cited by 61
- AlgCat.Hom.homproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- ModuleCat.monModuleEquivalenceAlgebraproof · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.inverse_map_homstatement and proof · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.inverse_obj_X_carrierstatement and proof · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.inverse_obj_monstatement and proof · cited by 0