Spectral spaces of semistar operations

DOI10.1016/j.jpaa.2016.01.008zbMath1341.13003arXiv1601.03522OpenAlexW2963177529MaRDI QIDQ258151

Dario Spirito, Marco Fontana, Carmelo Antonio Finocchiaro

Publication date: 17 March 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03522

zbMATH Keywords

inverse topologysemistar operationsspectral spaces

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) Injective and flat modules and ideals in commutative rings (13C11) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (19)

Radical semistar operations ⋮ Topological properties of localizations, flat overrings and sublocalizations ⋮ A topological version of Hilbert's Nullstellensatz ⋮ Isolated points of the Zariski space ⋮ Unnamed Item ⋮ Towards a classification of stable semistar operations on a Prüfer domain ⋮ Topological properties of semigroup primes of a commutative ring ⋮ Decomposition and classification of length functions ⋮ When Two Principal Star Operations Are the Same ⋮ Unnamed Item ⋮ The sets of star and semistar operations on semilocal Prüfer domains ⋮ Jaffard families and localizations of star operations ⋮ Suprema in spectral spaces and the constructible closure ⋮ The Zariski topology on sets of semistar operations without finite-type assumptions ⋮ The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications ⋮ Corrigendum to: ``The Zariski topology on sets of semistar operations without finite-type assumptions ⋮ Sharpness and semistar operations in Prüfer-like domains ⋮ Topological properties of subsets of the Zariski space ⋮ The space of homogeneous preserving semistar operations on graded domains

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