Globalized pseudo-valuation domains of integer-valued polynomials on a subset

DOI10.1080/00927872.2021.2008949zbMath1486.13031OpenAlexW4200299310MaRDI QIDQ5072718

Mi Hee Park

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.2008949

zbMATH Keywords

valuation domainPrüfer domaininteger-valued polynomialpseudo-valuation domainglobalized pseudo-valuation domaininteger-valued rational function

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Pseudo-convergent sequences and Prüfer domains of integer-valued polynomials
• Locally pseudo-valuation domains
• Pseudo-valuation domains
• Prüfer intersection of valuation domains of a field of rational functions
• On the spectrum of rings of functions
• Prüfer domains of integer-valued polynomials and the two-generator property
• Prüfer domains of integer-valued polynomials on a subset
• Integer-valued polynomials, Prüfer domains and the stacked bases property
• Integer-Valued Polynomials
• A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain
• Globalized Pseudo-valuation Domains of the Form Int(D)

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