On certain distinguished spectral sets

DOI10.1007/BF01789475zbMath0472.54021OpenAlexW2005097506MaRDI QIDQ1157806

Ira J. Papick, David E. Dobbs, Marco Fontana

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01789475

zbMATH Keywords

finest and coarsest compatible topologyNoetherian spectral spaces

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

Distinguished classes of ideal spaces and their topological properties, Spectral sets, On a conjecture about spectral sets, A solution to a spectral poset problem of Lewis and Ohm, G-domains and spectral spaces, Spectral partially ordered sets, Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey, Spectral primal spaces, Posets admitting a unique order-compatible topology, A spectral construction of a treed domain that is not going-down., On chain morphisms of commutative rings, Spectral spaces of semistar operations

Cites Work

• Topologically defined classes of commutative rings
• The maximal ideal space of a Noetherian ring
• A class of domains in which primary ideals are valuation ideals. II
• Rings with Noetherian spectrum
• A note on rings with noetherian spectrum
• The spectrum of a ring as a partially ordered set
• The Laskerian Property, Power Series Rings and Noetherian Spectra
• The Ordering of Spec R
• Disconnexités des spectres d'anneaux et des préschémas
• Prime Ideal Structure in Commutative Rings
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