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Theorems · Definition · ring theory

Coalgebra.comulCoalgHom

(R : Type u_5) →
  (C : Type u_6) →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid C] →
        [inst_2 : Module R C] → [inst_3 : Coalgebra R C] → [Coalgebra.IsCocomm R C] → C →ₗc[R] TensorProduct R C C

Comultiplication as a coalgebra hom.

Defined in
Mathlib.RingTheory.Coalgebra.TensorProduct
Cited by
0 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleCoalgebraCoalgebra.IsCocomm
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Around this declaration

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

Bialgebra.comulBialgHom · cited by 3Bialgebra.comulBialgHomModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapTensorProduct · cited by 2545TensorProductCoalgebraStruct.comul · cited by 118CoalgebraStruct.comulCoalgebra · cited by 112CoalgebraCoalgHom · cited by 105CoalgHomCoalgebra.IsCocomm · cited by 11Coalgebra.IsCocommCoalgebra.comulCoalgHomCITED BYCITES

Cites10

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Cited by1

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