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Theorems · Theorem · ring theory

TrivSqZeroExt.map_id

∀ {R' : Type u} {M : Type v} [inst : CommSemiring R'] [inst_1 : AddCommMonoid M] [inst_2 : Module R' M]
  [inst_3 : Module R'ᵐᵒᵖ M] [inst_4 : IsCentralScalar R' M],
  TrivSqZeroExt.map LinearMap.id = AlgHom.id R' (TrivSqZeroExt R' M)
Defined in
Mathlib.Algebra.TrivSqZeroExt.Basic
Cited by
0 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleModuleIsCentralScalar
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Around this declaration

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Module · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomMulOpposite · cited by 1135MulOppositeLinearMap.id · cited by 625LinearMap.idAlgHom.id · cited by 196AlgHom.idTrivSqZeroExt · cited by 180TrivSqZeroExtTrivSqZeroExt.inr · cited by 59TrivSqZeroExt.inrIsCentralScalar · cited by 39IsCentralScalarTrivSqZeroExt.map · cited by 12TrivSqZeroExt.mapTrivSqZeroExt.map_inr · cited by 4TrivSqZeroExt.map_inrTrivSqZeroExt.algHom_ext · cited by 2TrivSqZeroExt.algHom_extTrivSqZeroExt.map_idCITED BYCITES

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