Theorems · Definition · category theory

ModuleCat.mkOfSMul

{R : Type u} → [inst : Ring R] → {A : AddCommGrpCat} → (R →+* CategoryTheory.End A) → ModuleCat R

Given A : AddCommGrpCat and a ring morphism R →+* End A, this is an object in ModuleCat R, whose underlying abelian group is A and whose scalar multiplication is given by R.

Defined in

Mathlib.Algebra.Category.ModuleCat.Basic

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

Ring