Theorems · Theorem · commutative algebra
RingHom.finitePresentation_algebraMap
∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B],
(algebraMap A B).FinitePresentation ↔ Algebra.FinitePresentation A B- Defined in
- Mathlib.RingTheory.FinitePresentation
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapstatement and proof · cited by 4,706
- Algebra.FinitePresentationstatement and proof · cited by 56
- RingHom.FinitePresentationstatement · cited by 37
- toAlgebra_algebraMapproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isOpenMap_comap_of_hasGoingDown_of_finitePresentationproof · cited by 2
- RingHom.finitePresentation_holdsForLocalizationAwayproof · cited by 1
- RingHom.FinitePresentation.codescendsAlong_faithfullyFlatproof · cited by 0