Bhargava rings that are Prüfer v-multiplication domains

DOI10.1142/S021949882050098XzbMath1445.13020OpenAlexW2939834050WikidataQ114614668 ScholiaQ114614668MaRDI QIDQ3296154

Mi Hee Park, Francesca Tartarone

Publication date: 7 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949882050098x

zbMATH Keywords

integer-valued polynomialsPrüfer \(v\)-multiplication domainBhargava rings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• Prüfer domains and rings of integer-valued polynomials
• Finite generation properties for various rings of integer-valued polynomials
• A classification of the integrally closed rings of polynomials containing \(Z[X\)]
• Arithmetic properties in pullbacks
• Prime ideals of Bhargava domains
• Integer-valued polynomials and Prüfer \(v\)-multiplication domains
• Integer-Valued Polynomials
• On 𝑃-orderings, rings of integer-valued polynomials, and ultrametric analysis
• Integer-Valued Polynomials, Prufer Domains, and Localization
• Anneaux de Bhargava
• On the Prime Ideal Structure of Bhargava Rings
• Integer-valued polynomials over Krull-type domains and Prüfer $v$-multiplication domains
• Some Results on v-Multiplication Rings

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