Radical semistar operations

DOI10.1080/00927872.2022.2154784OpenAlexW4312072537MaRDI QIDQ5887598

Dario Spirito

Publication date: 13 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.07366

zbMATH Keywords

scattered spacessemistar operationsstable 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) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

Almost Dedekind domains without radical factorization

Cites Work

• Spectral spaces of semistar operations
• Some topological considerations on semistar operations
• Multiplicative invariants and length functions over valuation domains
• Cancellation properties in ideal systems: A classification of e.a.b. semistar operations
• Topological properties of localizations, flat overrings and sublocalizations
• The Zariski topology on sets of semistar operations without finite-type assumptions
• The derived sequence of a pre-Jaffard family
• Decomposition and classification of length functions
• Almost Dedekind domains without radical factorization
• The constructible topology on spaces of valuation domains
• Integral Domains Which Admit at Most Two Star Operations
• Star-operations induced by overrings
• Two star-operations and their induced lattices
• Towards a classification of stable semistar operations on a Prüfer domain
• Spectral Spaces
• Star-Operations that Distribute Over Finite Intersections
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