Theorems · Theorem · ring theory

MatrixModCat.toModuleCat_map

∀ (R : Type u) {ι : Type v} [inst : Ring R] [inst_1 : Fintype ι] [inst_2 : DecidableEq ι] (i : ι)
  {X Y : ModuleCat (Matrix ι ι R)} (f : X ⟶ Y),
  (MatrixModCat.toModuleCat R i).map f = ModuleCat.ofHom (MatrixModCat.fromMatrixLinear i (ModuleCat.Hom.hom f))

Defined in

Mathlib.RingTheory.Morita.Matrix

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingFintypeDecidableEq