Towards a classification of stable semistar operations on a Prüfer domain

DOI10.1080/00927872.2017.1360329zbMath1402.13003arXiv1707.07505OpenAlexW2963469277MaRDI QIDQ4567815

Dario Spirito

Publication date: 20 June 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07505

zbMATH Keywords

semistar operationsPrüfer domains\(v\)-operationstable operations

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (7)

Radical semistar operations ⋮ Unnamed Item ⋮ Decomposition and classification of length functions ⋮ Length Functions over Prüfer Domains ⋮ Jaffard families and localizations of star operations ⋮ The Zariski topology on sets of semistar operations without finite-type assumptions ⋮ Corrigendum to: ``The Zariski topology on sets of semistar operations without finite-type assumptions

Cites Work

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• Spectral spaces of semistar operations
• Some topological considerations on semistar operations
• Cancellation properties in ideal systems: A classification of e.a.b. semistar operations
• The constructible topology on spaces of valuation domains
• Star-operations induced by overrings
• M-Canonical ideals in integral domains
• Two star-operations and their induced lattices
• Star-Operations that Distribute Over Finite Intersections

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