The derived sequence of a pre-Jaffard family

DOI10.1007/s00009-022-02028-zzbMath1491.13007arXiv2102.12742OpenAlexW3132593769MaRDI QIDQ2141038

Dario Spirito

Publication date: 23 May 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.12742

zbMATH Keywords

length functionsJaffard familiesdull degreeflat overringssharp degreestable operations

Mathematics Subject Classification ID

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

Related Items (3)

Radical semistar operations ⋮ Localizations of integer‐valued polynomials and of their Picard group ⋮ Almost Dedekind domains without radical factorization

Cites Work

• Factoring ideals in integral domains
• Abstract Riemann surfaces of integral domains and spectral spaces
• Sequence domains and integer-valued polynomials
• Well-centered overrings of an integral domain.
• Topological properties of localizations, flat overrings and sublocalizations
• Jaffard families and localizations of star operations
• Decomposition and classification of length functions
• The sets of star and semistar operations on semilocal Prüfer domains
• Overrings of Prüfer domains. II
• Group-theoretic and topological invariants of completely integrally closed Prüfer domains
• Topology, intersections and flat modules
• Factoring ideals in almost Dedekind domains
• Two star-operations and their induced lattices
• Spectral Spaces
• Spectral Spaces and Ultrafilters
• Generalized Quotient Rings
• Autour de la platitude
• Prime Ideal Structure in Commutative Rings

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