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Theorems · Definition · ring theory

NonUnitalSubsemiring.unitization

{R : Type u_1} →
  {S : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : SetLike S R] → [hSR : NonUnitalSubsemiringClass S R] → (s : S) → Unitization ℕ ↥s →ₐ[ℕ] R

The natural ℕ-algebra homomorphism from the unitization of a non-unital subsemiring to its Subsemiring.closure.

Defined in
Mathlib.Algebra.Algebra.Subalgebra.Unitization
Cited by
2 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Quot.sound
Assumes
SemiringSetLikeNonUnitalSubsemiringClass
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Around this declaration

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

NonUnitalSubsemiring.unitization_apply · cited by 0NonUnitalSubsemiring.unit…NonUnitalSubsemiring.unitization_range · cited by 0NonUnitalSubsemiring.unit…Semiring · cited by 13802SemiringAlgHom · cited by 3236AlgHomSetLike · cited by 1084SetLikeUnitization · cited by 220UnitizationNonUnitalSubsemiringClass · cited by 22NonUnitalSubsemiringClassNonUnitalSubalgebra.unitization · cited by 3NonUnitalSubalgebra.uniti…NonUnitalSubsemiring.unitizat…CITED BYCITES

Cites6

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Cited by2

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