PrimeSpectrum.pointsEquivIrreducibleCloseds

(R : Type u) → [inst : CommSemiring R] → PrimeSpectrum R ≃o (TopologicalSpace.IrreducibleCloseds (PrimeSpectrum R))ᵒᵈ

Zero loci of prime ideals are closed irreducible sets in the Zariski topology and any closed irreducible set is a zero locus of some prime ideal.

Defined in: Mathlib.RingTheory.Spectrum.Prime.Topology
Cited by: 1 results in Mathlib
Foundations: Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring

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