Theorems · Definition · ring theory
Algebra.ofId
(R : Type u) → (A : Type v) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → R →ₐ[R] A
AlgebraMap as an AlgHom.
- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 166 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 159 definitions · uses no axioms
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomproof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
Cited by221
Results whose statement or proof uses this declaration.
- Polynomial.aeval_Xproof · cited by 120
- Polynomial.aeval_Cproof · cited by 81
- StarAlgHom.ofIdproof · cited by 18
- Polynomial.aeval_X_powproof · cited by 17
- Polynomial.aeval_monomialproof · cited by 14
- MonoidAlgebra.liftproof · cited by 13
- PrimeSpectrum.toPiLocalizationproof · cited by 13
- AddMonoidAlgebra.liftproof · cited by 10
- IsLocalization.atUnitsproof · cited by 10
- RCLike.ofRealAmproof · cited by 9
- MaximalSpectrum.toPiLocalizationproof · cited by 9
- AdjoinRoot.equiv'proof · cited by 9
Showing the 200 most cited of 221.