Ideal spaces: An extension of structure spaces of rings
type: Item
instance of: scholarly article
title: Ideal spaces: An extension of structure spaces of rings
zbMATH Open document ID: 1530.13017
arXiv ID: 2203.09586
author: Themba Dube
author: Amartya Goswami
publication date: 2023-11-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/2203.09586
Mathematics Subject Classification ID: 13C05
Mathematics Subject Classification ID: 54B35
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 7768544
zbMATH Keywords: ideals
zbMATH Keywords: hull-kernel topology
zbMATH Keywords: Zariski topology
zbMATH Keywords: closed subbase
zbMATH Keywords: structure space
zbMATH Keywords: irreducibility
zbMATH Keywords: sober space
MaRDI profile type: Publication
OpenAlex ID: W4286203274
cites work: STRONGLY IRREDUCIBLE IDEALS
cites work: Ideal Lattices and the Structure of Rings
cites work: Q4405003
cites work: Q5516652
cites work: Spectral Spaces
cites work: Über die Ideale arithmetischer Ringe
cites work: Abstractly constructed prime spectra
cites work: A topological version of Hilbert's Nullstellensatz
cites work: Distinguished classes of ideal spaces and their topological properties
cites work: Suprema in spectral spaces and the constructible closure
cites work: Continuous Lattices and Domains
cites work: Q3270120
cites work: Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
cites work: Universal compact T1 spaces
cites work: Q4039904
cites work: Strongly irreducible ideals of a commutative ring
cites work: The Space of Minimal Prime Ideals of a Commutative Ring
cites work: Prime Ideal Structure in Commutative Rings
cites work: The Minimal Prime Spectrum of a Commutative Ring
cites work: A Topology for the Set of Primitive Ideals in an Arbitrary Ring
cites work: Q3236717
cites work: Q5823790
cites work: Q5802205
cites work: Prime Ideals in General Rings
cites work: Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings
cites work: Q4228820
cites work: Strongly Irreducible Ideals and Truncated Valuations
DOI: 10.1142/S0219498823502456
published in: Journal of Algebra and its Applications
description: scientific article; zbMATH DE number 7768544