Theorems · Definition · commutative algebra

IsBaseChange.endHom

{R : Type u_1} →
  [inst : CommSemiring R] →
    {S : Type u_2} →
      [inst_1 : CommSemiring S] →
        [inst_2 : Algebra R S] →
          {M : Type u_3} →
            [inst_3 : AddCommMonoid M] →
              [inst_4 : Module R M] →
                {P : Type u_5} →
                  [inst_5 : AddCommMonoid P] →
                    [inst_6 : Module R P] →
                      [inst_7 : Module S P] →
                        [inst_8 : IsScalarTower R S P] →
                          {α : M →ₗ[R] P} → IsBaseChange S α → (M →ₗ[R] M) →ₗ[R] P →ₗ[S] P

The base change map for endomorphisms of a free finite module.

Defined in

Mathlib.RingTheory.TensorProduct.IsBaseChangeHom

Cited by

9 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraAddCommMonoidModuleAddCommMonoidModuleModuleIsScalarTower