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Theorems · Definition · ring theory

TrivSqZeroExt.inlHom

(R : Type u) →
  (M : Type v) →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → [inst_3 : Module Rᵐᵒᵖ M] → R →+* TrivSqZeroExt R M

The canonical inclusion of rings R → TrivSqZeroExt R M.

Defined in
Mathlib.Algebra.TrivSqZeroExt.Basic
Cited by
2 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Quot.sound
Assumes
SemiringAddCommMonoidModuleModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TrivSqZeroExt.algebraMap_eq_inlHom · cited by 0TrivSqZeroExt.algebraMap_…TrivSqZeroExt.inlHom_apply · cited by 0TrivSqZeroExt.inlHom_applyModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidRingHom · cited by 10189RingHomMulOpposite · cited by 1135MulOppositeTrivSqZeroExt · cited by 180TrivSqZeroExtTrivSqZeroExt.inl · cited by 64TrivSqZeroExt.inlTrivSqZeroExt.inlHomCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.