Sequence domains and integer-valued polynomials

DOI10.1016/S0022-4049(96)00025-4zbMath0960.13005MaRDI QIDQ1361208

K. Alan Loper

Publication date: 14 May 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Prüfer ringinteger-valued polynomialsnon-Noetherian almost Dedekind domainssequence domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (19)

Some Boundedness Conditions for Rings of Integer-Valued Polynomials ⋮ The derived sequence of a pre-Jaffard family ⋮ Ultrafilter and Constructible Topologies on Spaces of Valuation Domains ⋮ Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey ⋮ Endoregular modules ⋮ Decomposition and classification of length functions ⋮ Almost Dedekind domains without radical factorization ⋮ The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring ⋮ Generalized rings of integer-valued polynomials ⋮ Constructing chains of primes in power series rings ⋮ Integer-valued polynomials and Prüfer \(v\)-multiplication domains ⋮ A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain ⋮ Some applications of the ultrafilter topology on spaces of valuation domains, Part I ⋮ The Zariski topology on sets of semistar operations without finite-type assumptions ⋮ Ideal class (semi)groups and atomicity in Prüfer domains ⋮ Prüfer Domains of Integer-Valued Polynomials ⋮ Factorization of ideals ⋮ Cancellation properties in ideal systems: A classification of e.a.b. semistar operations ⋮ Normsets of almost Dedekind domains and atomicity

Cites Work

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• Prüfer domains and rings of integer-valued polynomials
• Un anneau de Prüfer. (A Prüfer ring)
• On rings without a certain divisibility property
• On Prüfer non-\(D\)-rings
• Irredundant intersections of valuation rings
• Integer-Valued Polynomials, Prufer Domains, and Localization
• On Prüfer domains of polynomials.

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