Theorems · Definition · category theory
CommRingCat.moduleCatRestrictScalarsPseudofunctor
CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete CommRingCatᵒᵖ) CategoryTheory.Cat
The pseudofunctor from LocallyDiscrete CommRingCatᵒᵖ to Cat which sends
a commutative ring R to its category of modules. The functoriality is given by
the restriction of scalars.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- CommRingCatstatement and proof · cited by 2,333
- Opposite.unopproof · cited by 2,231
- ModuleCatproof · cited by 1,429
- CommRingCat.carrierproof · cited by 1,096
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Pseudofunctorstatement · cited by 571
- CommRingCat.Hom.homproof · cited by 432
- CategoryTheory.LocallyDiscretestatement · cited by 318
- CategoryTheory.Cat.ofproof · cited by 189
Cited by4
Results whose statement or proof uses this declaration.
- CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapstatement and proof · cited by 0
- CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapCompstatement and proof · cited by 0
- CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapIdstatement and proof · cited by 0
- CommRingCat.moduleCatRestrictScalarsPseudofunctor_objstatement and proof · cited by 0