Theorems · Theorem · commutative algebra
isJacobsonRing_of_finiteType
∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [IsJacobsonRing A]
[Algebra.FiniteType A B], IsJacobsonRing B- Defined in
- Mathlib.RingTheory.Jacobson.Ring
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypeproof · cited by 7,736
- AlgHomproof · cited by 3,236
- MvPolynomialproof · cited by 2,140
- AlgHom.toRingHomproof · cited by 490
- Algebra.FiniteTypestatement and proof · cited by 84
- IsJacobsonRingstatement and proof · cited by 40
- isJacobsonRing_of_surjectiveproof · cited by 4
- Algebra.FiniteType.iff_quotient_mvPolynomial'proof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.QuasiFinite.iff_finite_comap_preimage_singletonproof · cited by 4
- AlgebraicGeometry.LocallyOfFiniteType.jacobsonSpaceproof · cited by 2
- Algebra.QuasiFiniteAt.isClopen_singletonproof · cited by 2
- Algebra.QuasiFiniteAt.of_isOpen_singletonproof · cited by 1
- RingHom.FiniteType.isJacobsonRingproof · cited by 0