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 non-empty Zariski closed subspaces of Spec(R), endowed with a Zariski-like topology.
A topological version of Hilbert's Nullstellensatz
Spirito D.
2016-01-01
Abstract
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 non-empty Zariski closed subspaces of Spec(R), endowed with a Zariski-like topology.File in questo prodotto:
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