Theorems · Definition · group theory

Matrix.ProjGenLinGroup.map

{n : Type u_1} →
  {R : Type u_2} →
    [inst : Fintype n] →
      [inst_1 : DecidableEq n] →
        [inst_2 : CommRing R] →
          {S : Type u_4} → [inst_3 : CommRing S] → (R →+* S) → Matrix.ProjGenLinGroup n R →* Matrix.ProjGenLinGroup n S

The monoid hom between PGL(n, R) and PGL(n, S) induced by a ring homomorphism f : R →+* S.

Defined in

Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective

Cited by

3 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingCommRing