Theorems · Definition · ring theory

Unitization.fstHom

(R : Type u_2) →
  (A : Type u_3) →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalSemiring A] →
        [inst_2 : Module R A] →
          [inst_3 : IsScalarTower R A A] → [inst_4 : SMulCommClass R A A] → Unitization R A →ₐ[R] R

The canonical R-algebra projection Unitization R A → R.

Defined in: Mathlib.Algebra.Algebra.Unitization
Cited by: 3 results in Mathlib
Foundations: Depth 30 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring NonUnitalSemiring Module IsScalarTower SMulCommClass

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Cites8

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

Modulestatement and proof · cited by 20,661
CommSemiringstatement and proof · cited by 10,911
IsScalarTowerstatement and proof · cited by 3,896
AlgHomstatement · cited by 3,236
SMulCommClassstatement and proof · cited by 1,927
NonUnitalSemiringstatement and proof · cited by 339
Unitizationstatement and proof · cited by 220
Unitization.toProdproof · cited by 76

Cited by3

Results whose statement or proof uses this declaration.

Unitization.fstHom_applystatement and proof · cited by 2
Unitization.isQuasiregular_inr_iffproof · cited by 2
Unitization.mem_spectrum_inr_of_not_isUnitproof · cited by 1