Theorems · Theorem · ring theory
IsSemiprimaryRing.isNoetherianRing_iff_jacobson_fg
∀ {R : Type u_2} [inst : Ring R] [IsSemiprimaryRing R], IsNoetherianRing R ↔ (Ring.jacobson R).FG- Defined in
- Mathlib.RingTheory.HopkinsLevitzki
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingIsSemiprimaryRing
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- IsNoetherianRingstatement and proof · cited by 268
- Ideal.FGstatement and proof · cited by 99
- Ring.jacobsonstatement and proof · cited by 37
- IsNoetherian.noetherianproof · cited by 32
- IsSemiprimaryRingstatement and proof · cited by 9
- IsSemiprimaryRing.isNoetherian_iff_finite_of_jacobson_fgproof · cited by 1
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