The sets of star and semistar operations on semilocal Prüfer domains

DOI10.1216/jca.2020.12.581zbMath1456.13005arXiv1707.07507OpenAlexW3119043616MaRDI QIDQ2219246

Dario Spirito

Publication date: 19 January 2021

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07507

zbMATH Keywords

semistar operationsstar operationsPrüfer domainshomeomorphically irreducible treesJaffard families

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (4)

The derived sequence of a pre-Jaffard family ⋮ Decomposition and classification of length functions ⋮ Asymptotic for the number of star operations on one-dimensional Noetherian domains ⋮ Finitely star regular domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral spaces of semistar operations
• A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case
• Some topological considerations on semistar operations
• Factoring ideals in integral domains
• The number of homeomorphically irreducible trees, and other species
• Cancellation properties in ideal systems: A classification of e.a.b. semistar operations
• Star operations and pullbacks.
• Noetherian domains which admit only finitely many star operations
• Jaffard families and localizations of star operations
• The spectrum of a ring as a partially ordered set
• The constructible topology on spaces of valuation domains
• Integral Domains Which Admit at Most Two Star Operations
• Sur les anneaux factoriels
• Two star-operations and their induced lattices
• Star operations on overrings of Prüfer domains
• Semistar Operations on Dedekind Domains
• Semistar Operations and Standard Closure Operations
• Star-Operations that Distribute Over Finite Intersections
• Integrally Closed Domains with Only Finitely Many Star Operations

This page was built for publication: The sets of star and semistar operations on semilocal Prüfer domains