A topological version of Hilbert's Nullstellensatz
classification
🧮 math.AC
math.AG
keywords
spaceendowedtopologycanonicallyclosedhilberthomeomorphichull-kernel
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We prove that the space of radical ideals of a ring $R$, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the nonempty Zariski closed subspaces of Spec$(R)$, endowed with a Zariski-like topology.
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