Theorems · Definition · category theory

ModuleCat.extendScalars

{R : Type u₁} →
  {S : Type u₂} →
    [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → CategoryTheory.Functor (ModuleCat R) (ModuleCat S)

Extension of scalars is a functor where an R-module M is sent to S ⊗ M and l : M1 ⟶ M2 is sent to s ⊗ m ↦ s ⊗ l m

Defined in

Mathlib.Algebra.Category.ModuleCat.ChangeOfRings

Cited by

39 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing