A topological version of Hilbert's Nullstellensatz

DOI10.1016/j.jalgebra.2016.04.020zbMath1339.13003arXiv1605.03105OpenAlexW2963369869MaRDI QIDQ298017

Marco Fontana, Dario Spirito, Carmelo Antonio Finocchiaro

Publication date: 20 June 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03105

zbMATH Keywords

hull-kernel topologyclosure operationZariski topologyradical idealinverse topologyspectral mapspectral space

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (14)

Distinguished classes of ideal spaces and their topological properties ⋮ On some spectral spaces associated to tensor triangulated categories ⋮ Ideal spaces: An extension of structure spaces of rings ⋮ Closure operations, continuous valuations on monoids and spectral spaces ⋮ Noncommutative tensor triangulated categories and coherent frames ⋮ Proper spaces are spectral ⋮ Spectra as universal objects in categories of supports ⋮ Unnamed Item ⋮ A topological nullstellensatz for tensor-triangulated categories ⋮ The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications ⋮ Unnamed Item ⋮ Lattices, spectral spaces, and closure operations on idempotent semirings ⋮ Abstractly constructed prime spectra ⋮ A new approach to the patch and flat topologies on a spectral space with applications

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