A topological version of Hilbert's Nullstellensatz

2016/05/10 by Finocchiaro, Carmelo A., Fontana, Marco, Spirito, Dario · 1 citation
#13A10 #13A15 #13B10 #13E99 #13G05 #14A05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.03105

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 nonempty Zariski closed subspaces of Spec(R), endowed with a Zariski-like topology.

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