Theorems · Definition · category theory
CommRingCat.moduleCatExtendScalarsPseudofunctor
CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete CommRingCat) CategoryTheory.Cat
The pseudofunctor from LocallyDiscrete CommRingCat to Cat which sends
a commutative ring R to its category of modules. The functoriality is given by
the extension of scalars.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CommRingCatstatement and proof · cited by 2,333
- ModuleCatproof · cited by 1,429
- CommRingCat.carrierproof · cited by 1,096
- 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
- CategoryTheory.Functor.toCatHomproof · cited by 124
- ModuleCat.extendScalarsproof · cited by 39
- CategoryTheory.Cat.Hom.isoMkproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- CommRingCat.moduleCatExtendScalarsPseudofunctor_mapCompstatement and proof · cited by 0
- CommRingCat.moduleCatExtendScalarsPseudofunctor_mapIdstatement and proof · cited by 0
- CommRingCat.moduleCatExtendScalarsPseudofunctor_objstatement and proof · cited by 0
- CommRingCat.moduleCatExtendScalarsPseudofunctor_mapstatement and proof · cited by 0