Suprema in spectral spaces and the constructible closure

zbMath1451.13063arXiv1906.07053MaRDI QIDQ2006017

Dario Spirito, Carmelo Antonio Finocchiaro

Publication date: 8 October 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07053

zbMATH Keywords

semistar operationsspectral spacesconstructible topologyspecialization orderoverrings

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Theory of modules and ideals in commutative rings (13C99)

Related Items (3)

Distinguished classes of ideal spaces and their topological properties ⋮ Ideal spaces: An extension of structure spaces of rings ⋮ Proper spaces are spectral

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral spaces of semistar operations
• Some topological considerations on semistar operations
• Topologically defined classes of commutative rings
• Topological properties of localizations, flat overrings and sublocalizations
• 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
• Places of algebraic function fields in arbitrary characteristic
• Elementary properties of minimal and maximal points in Zariski spectra
• Non-compact subsets of the Zariski space of an integral domain
• New Distinguished Classes of Spectral Spaces: A Survey
• Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings
• The constructible topology on spaces of valuation domains
• Examples of star operations on integral domains
• The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• Spectral Spaces
• Spectral Spaces and Ultrafilters
• Some Results on v-Multiplication Rings
• Prime Ideal Structure in Commutative Rings
• Elementary Divisors and Modules

This page was built for publication: Suprema in spectral spaces and the constructible closure