The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring
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Publication:3525193
DOI10.1080/00927870802110326zbMath1152.13003arXiv0707.1525OpenAlexW2153743334MaRDI QIDQ3525193
Publication date: 11 September 2008
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1525
Morphisms of commutative rings (13B10) Ideals and multiplicative ideal theory in commutative rings (13A15) Topological rings and modules (13J99) Relevant commutative algebra (14A05)
Related Items (16)
Topological properties of localizations, flat overrings and sublocalizations ⋮ The strong ultrafilter topology on spaces of ideals ⋮ Some topology on zero-dimensional subrings of product of rings ⋮ Topological properties of semigroup primes of a commutative ring ⋮ Ultrafilter and Constructible Topologies on Spaces of Valuation Domains ⋮ Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey ⋮ A Survey on Essential-Like Properties of Prüfer v-Multiplication Domains ⋮ Spectral Spaces and Ultrafilters ⋮ Suprema in spectral spaces and the constructible closure ⋮ Some applications of the ultrafilter topology on spaces of valuation domains, Part I ⋮ The ℱ-Limit of a Sequence of Prime Ideals ⋮ New Distinguished Classes of Spectral Spaces: A Survey ⋮ The space of homogeneous preserving semistar operations on graded domains ⋮ The constructible topology on spaces of valuation domains ⋮ A new approach to the patch and flat topologies on a spectral space with applications ⋮ Spectral spaces of semistar operations
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