Theorems · Definition · category theory
CommRingCat.monoidAlgebraAdj
(R : CommRingCat) → R.monoidAlgebra ⊣ (CategoryTheory.Under.forget R).comp (CategoryTheory.forget₂ CommRingCat CommMonCat)
The adjunction G ↦ R[G] and S ↦ Sˣ between CommGrpCat and R-Alg.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- RingHomstatement · cited by 10,189
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- MonoidHomstatement · cited by 3,629
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Adjunctionstatement · cited by 524
- CommRingCat.Hom.homproof · cited by 432
- MonoidHom.idproof · cited by 323
- CategoryTheory.Understatement and proof · cited by 276
- CategoryTheory.forget₂statement and proof · cited by 260
Cited by1
Results whose statement or proof uses this declaration.
- CommRingCat.forget₂Adjproof · cited by 0