Theorems · Definition · ring theory

TrivSqZeroExt.inlAlgHom

(S : Type u_1) →
  (R : Type u) →
    (M : Type v) →
      [inst : CommSemiring S] →
        [inst_1 : Semiring R] →
          [inst_2 : AddCommMonoid M] →
            [inst_3 : Algebra S R] →
              [inst_4 : Module S M] →
                [inst_5 : Module R M] →
                  [inst_6 : Module Rᵐᵒᵖ M] →
                    [inst_7 : SMulCommClass R Rᵐᵒᵖ M] →
                      [inst_8 : IsScalarTower S R M] → [inst_9 : IsScalarTower S Rᵐᵒᵖ M] → R →ₐ[S] TrivSqZeroExt R M

The canonical S-algebra inclusion R → TrivSqZeroExt R M.

Defined in

Mathlib.Algebra.TrivSqZeroExt.Basic

Cited by

17 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAddCommMonoidAlgebraModuleModuleModuleSMulCommClassIsScalarTowerIsScalarTower